What is the Least Common Multiple of 79029 and 79044?

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 79029 and 79044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79029 and 79044, than apply into the LCM equation.

GCF(79029,79044) = 3
LCM(79029,79044) = ( 79029 × 79044) / 3
LCM(79029,79044) = 6246768276 / 3
LCM(79029,79044) = 2082256092

Least Common Multiple (LCM) of 79029 and 79044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79029 and 79044. First we will calculate the prime factors of 79029 and 79044.

Prime Factorization of 79029

Prime Factorization of 79044

Now multiplying the highest exponent prime factors to calculate the LCM of 79029 and 79044.

LCM(79029,79044) = 3³ × 2927¹ × 2² × 7¹ × 941¹
LCM(79029,79044) = 2082256092