What is the Least Common Multiple of 72748 and 72766?

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 72748 and 72766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72748 and 72766, than apply into the LCM equation.

GCF(72748,72766) = 2
LCM(72748,72766) = ( 72748 × 72766) / 2
LCM(72748,72766) = 5293580968 / 2
LCM(72748,72766) = 2646790484

Least Common Multiple (LCM) of 72748 and 72766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72748 and 72766. First we will calculate the prime factors of 72748 and 72766.

Prime Factorization of 72748

Prime Factorization of 72766

Now multiplying the highest exponent prime factors to calculate the LCM of 72748 and 72766.

LCM(72748,72766) = 2² × 13¹ × 1399¹ × 36383¹
LCM(72748,72766) = 2646790484