What is the Least Common Multiple of 75663 and 75672?

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 75663 and 75672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75663 and 75672, than apply into the LCM equation.

GCF(75663,75672) = 9
LCM(75663,75672) = ( 75663 × 75672) / 9
LCM(75663,75672) = 5725570536 / 9
LCM(75663,75672) = 636174504

Least Common Multiple (LCM) of 75663 and 75672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75663 and 75672. First we will calculate the prime factors of 75663 and 75672.

Prime Factorization of 75663

Prime Factorization of 75672

Now multiplying the highest exponent prime factors to calculate the LCM of 75663 and 75672.

LCM(75663,75672) = 3² × 7¹ × 1201¹ × 2³ × 1051¹
LCM(75663,75672) = 636174504