What is the Least Common Multiple of 79032 and 79046?

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 79032 and 79046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79032 and 79046, than apply into the LCM equation.

GCF(79032,79046) = 2
LCM(79032,79046) = ( 79032 × 79046) / 2
LCM(79032,79046) = 6247163472 / 2
LCM(79032,79046) = 3123581736

Least Common Multiple (LCM) of 79032 and 79046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79032 and 79046. First we will calculate the prime factors of 79032 and 79046.

Prime Factorization of 79032

Prime Factorization of 79046

Now multiplying the highest exponent prime factors to calculate the LCM of 79032 and 79046.

LCM(79032,79046) = 2³ × 3¹ × 37¹ × 89¹ × 11¹ × 3593¹
LCM(79032,79046) = 3123581736