GCF and LCM Calculator Logo

What is the Least Common Multiple of 79042 and 79062?

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 79042 and 79062 is 3124609302.

LCM(79042,79062) = 3124609302

LCM Calculator and
and

Least Common Multiple of 79042 and 79062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79042 and 79062, than apply into the LCM equation.

GCF(79042,79062) = 2
LCM(79042,79062) = ( 79042 × 79062) / 2
LCM(79042,79062) = 6249218604 / 2
LCM(79042,79062) = 3124609302

Least Common Multiple (LCM) of 79042 and 79062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79042 and 79062. First we will calculate the prime factors of 79042 and 79062.

Prime Factorization of 79042

Prime factors of 79042 are 2, 39521. Prime factorization of 79042 in exponential form is:

79042 = 21 × 395211

Prime Factorization of 79062

Prime factors of 79062 are 2, 3, 13177. Prime factorization of 79062 in exponential form is:

79062 = 21 × 31 × 131771

Now multiplying the highest exponent prime factors to calculate the LCM of 79042 and 79062.

LCM(79042,79062) = 21 × 395211 × 31 × 131771
LCM(79042,79062) = 3124609302