What is the Least Common Multiple of 71752 and 71766?

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 71752 and 71766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71752 and 71766, than apply into the LCM equation.

GCF(71752,71766) = 2
LCM(71752,71766) = ( 71752 × 71766) / 2
LCM(71752,71766) = 5149354032 / 2
LCM(71752,71766) = 2574677016

Least Common Multiple (LCM) of 71752 and 71766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71752 and 71766. First we will calculate the prime factors of 71752 and 71766.

Prime Factorization of 71752

Prime Factorization of 71766

Now multiplying the highest exponent prime factors to calculate the LCM of 71752 and 71766.

LCM(71752,71766) = 2³ × 8969¹ × 3⁴ × 443¹
LCM(71752,71766) = 2574677016