What is the Least Common Multiple of 13090 and 13102?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 13090 and 13102 is 85752590.
LCM(13090,13102) = 85752590
Least Common Multiple of 13090 and 13102 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13090 and 13102, than apply into the LCM equation.
GCF(13090,13102) = 2
LCM(13090,13102) = ( 13090 × 13102) / 2
LCM(13090,13102) = 171505180 / 2
LCM(13090,13102) = 85752590
Least Common Multiple (LCM) of 13090 and 13102 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13090 and 13102. First we will calculate the prime factors of 13090 and 13102.
Prime Factorization of 13090
Prime factors of 13090 are 2, 5, 7, 11, 17. Prime factorization of 13090 in exponential form is:
13090 = 21 × 51 × 71 × 111 × 171
Prime Factorization of 13102
Prime factors of 13102 are 2, 6551. Prime factorization of 13102 in exponential form is:
13102 = 21 × 65511
Now multiplying the highest exponent prime factors to calculate the LCM of 13090 and 13102.
LCM(13090,13102) = 21 × 51 × 71 × 111 × 171 × 65511
LCM(13090,13102) = 85752590
Related Least Common Multiples of 13090
- LCM of 13090 and 13094
- LCM of 13090 and 13095
- LCM of 13090 and 13096
- LCM of 13090 and 13097
- LCM of 13090 and 13098
- LCM of 13090 and 13099
- LCM of 13090 and 13100
- LCM of 13090 and 13101
- LCM of 13090 and 13102
- LCM of 13090 and 13103
- LCM of 13090 and 13104
- LCM of 13090 and 13105
- LCM of 13090 and 13106
- LCM of 13090 and 13107
- LCM of 13090 and 13108
- LCM of 13090 and 13109
- LCM of 13090 and 13110
Related Least Common Multiples of 13102
- LCM of 13102 and 13106
- LCM of 13102 and 13107
- LCM of 13102 and 13108
- LCM of 13102 and 13109
- LCM of 13102 and 13110
- LCM of 13102 and 13111
- LCM of 13102 and 13112
- LCM of 13102 and 13113
- LCM of 13102 and 13114
- LCM of 13102 and 13115
- LCM of 13102 and 13116
- LCM of 13102 and 13117
- LCM of 13102 and 13118
- LCM of 13102 and 13119
- LCM of 13102 and 13120
- LCM of 13102 and 13121
- LCM of 13102 and 13122