What is the Least Common Multiple of 79044 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 of 79044 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 79044 and 79062, than apply into the LCM equation.

GCF(79044,79062) = 6
LCM(79044,79062) = ( 79044 × 79062) / 6
LCM(79044,79062) = 6249376728 / 6
LCM(79044,79062) = 1041562788

Least Common Multiple (LCM) of 79044 and 79062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79044 and 79062. First we will calculate the prime factors of 79044 and 79062.

Prime Factorization of 79044

Prime Factorization of 79062

Now multiplying the highest exponent prime factors to calculate the LCM of 79044 and 79062.

LCM(79044,79062) = 2² × 3¹ × 7¹ × 941¹ × 13177¹
LCM(79044,79062) = 1041562788