What is the Least Common Multiple of 73752 and 73766?

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 73752 and 73766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73752 and 73766, than apply into the LCM equation.

GCF(73752,73766) = 14
LCM(73752,73766) = ( 73752 × 73766) / 14
LCM(73752,73766) = 5440390032 / 14
LCM(73752,73766) = 388599288

Least Common Multiple (LCM) of 73752 and 73766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73752 and 73766. First we will calculate the prime factors of 73752 and 73766.

Prime Factorization of 73752

Prime Factorization of 73766

Now multiplying the highest exponent prime factors to calculate the LCM of 73752 and 73766.

LCM(73752,73766) = 2³ × 3¹ × 7¹ × 439¹ × 11¹ × 479¹
LCM(73752,73766) = 388599288