What is the Least Common Multiple of 99 and 108?
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 99 and 108 is 1188.
LCM(99,108) = 1188
Least Common Multiple of 99 and 108 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99 and 108, than apply into the LCM equation.
GCF(99,108) = 9
LCM(99,108) = ( 99 × 108) / 9
LCM(99,108) = 10692 / 9
LCM(99,108) = 1188
Least Common Multiple (LCM) of 99 and 108 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99 and 108. First we will calculate the prime factors of 99 and 108.
Prime Factorization of 99
Prime factors of 99 are 3, 11. Prime factorization of 99 in exponential form is:
99 = 32 × 111
Prime Factorization of 108
Prime factors of 108 are 2, 3. Prime factorization of 108 in exponential form is:
108 = 22 × 33
Now multiplying the highest exponent prime factors to calculate the LCM of 99 and 108.
LCM(99,108) = 33 × 111 × 22
LCM(99,108) = 1188
Related Least Common Multiples of 99
- LCM of 99 and 103
- LCM of 99 and 104
- LCM of 99 and 105
- LCM of 99 and 106
- LCM of 99 and 107
- LCM of 99 and 108
- LCM of 99 and 109
- LCM of 99 and 110
- LCM of 99 and 111
- LCM of 99 and 112
- LCM of 99 and 113
- LCM of 99 and 114
- LCM of 99 and 115
- LCM of 99 and 116
- LCM of 99 and 117
- LCM of 99 and 118
- LCM of 99 and 119
Related Least Common Multiples of 108
- LCM of 108 and 112
- LCM of 108 and 113
- LCM of 108 and 114
- LCM of 108 and 115
- LCM of 108 and 116
- LCM of 108 and 117
- LCM of 108 and 118
- LCM of 108 and 119
- LCM of 108 and 120
- LCM of 108 and 121
- LCM of 108 and 122
- LCM of 108 and 123
- LCM of 108 and 124
- LCM of 108 and 125
- LCM of 108 and 126
- LCM of 108 and 127
- LCM of 108 and 128