What is the Least Common Multiple of 3106 and 3110?
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 3106 and 3110 is 4829830.
LCM(3106,3110) = 4829830
Least Common Multiple of 3106 and 3110 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3106 and 3110, than apply into the LCM equation.
GCF(3106,3110) = 2
LCM(3106,3110) = ( 3106 × 3110) / 2
LCM(3106,3110) = 9659660 / 2
LCM(3106,3110) = 4829830
Least Common Multiple (LCM) of 3106 and 3110 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3106 and 3110. First we will calculate the prime factors of 3106 and 3110.
Prime Factorization of 3106
Prime factors of 3106 are 2, 1553. Prime factorization of 3106 in exponential form is:
3106 = 21 × 15531
Prime Factorization of 3110
Prime factors of 3110 are 2, 5, 311. Prime factorization of 3110 in exponential form is:
3110 = 21 × 51 × 3111
Now multiplying the highest exponent prime factors to calculate the LCM of 3106 and 3110.
LCM(3106,3110) = 21 × 15531 × 51 × 3111
LCM(3106,3110) = 4829830
Related Least Common Multiples of 3106
- LCM of 3106 and 3110
- LCM of 3106 and 3111
- LCM of 3106 and 3112
- LCM of 3106 and 3113
- LCM of 3106 and 3114
- LCM of 3106 and 3115
- LCM of 3106 and 3116
- LCM of 3106 and 3117
- LCM of 3106 and 3118
- LCM of 3106 and 3119
- LCM of 3106 and 3120
- LCM of 3106 and 3121
- LCM of 3106 and 3122
- LCM of 3106 and 3123
- LCM of 3106 and 3124
- LCM of 3106 and 3125
- LCM of 3106 and 3126
Related Least Common Multiples of 3110
- LCM of 3110 and 3114
- LCM of 3110 and 3115
- LCM of 3110 and 3116
- LCM of 3110 and 3117
- LCM of 3110 and 3118
- LCM of 3110 and 3119
- LCM of 3110 and 3120
- LCM of 3110 and 3121
- LCM of 3110 and 3122
- LCM of 3110 and 3123
- LCM of 3110 and 3124
- LCM of 3110 and 3125
- LCM of 3110 and 3126
- LCM of 3110 and 3127
- LCM of 3110 and 3128
- LCM of 3110 and 3129
- LCM of 3110 and 3130