What is the Least Common Multiple of 12072 and 12092?

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 12072 and 12092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12072 and 12092, than apply into the LCM equation.

GCF(12072,12092) = 4
LCM(12072,12092) = ( 12072 × 12092) / 4
LCM(12072,12092) = 145974624 / 4
LCM(12072,12092) = 36493656

Least Common Multiple (LCM) of 12072 and 12092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12072 and 12092. First we will calculate the prime factors of 12072 and 12092.

Prime Factorization of 12072

Prime Factorization of 12092

Now multiplying the highest exponent prime factors to calculate the LCM of 12072 and 12092.

LCM(12072,12092) = 2³ × 3¹ × 503¹ × 3023¹
LCM(12072,12092) = 36493656