What is the Least Common Multiple of 75072 and 75092?

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 75072 and 75092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75072 and 75092, than apply into the LCM equation.

GCF(75072,75092) = 4
LCM(75072,75092) = ( 75072 × 75092) / 4
LCM(75072,75092) = 5637306624 / 4
LCM(75072,75092) = 1409326656

Least Common Multiple (LCM) of 75072 and 75092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75072 and 75092. First we will calculate the prime factors of 75072 and 75092.

Prime Factorization of 75072

Prime Factorization of 75092

Now multiplying the highest exponent prime factors to calculate the LCM of 75072 and 75092.

LCM(75072,75092) = 2⁶ × 3¹ × 17¹ × 23¹ × 18773¹
LCM(75072,75092) = 1409326656