What is the Least Common Multiple of 74516 and 74532?

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 74516 and 74532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74516 and 74532, than apply into the LCM equation.

GCF(74516,74532) = 4
LCM(74516,74532) = ( 74516 × 74532) / 4
LCM(74516,74532) = 5553826512 / 4
LCM(74516,74532) = 1388456628

Least Common Multiple (LCM) of 74516 and 74532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74516 and 74532. First we will calculate the prime factors of 74516 and 74532.

Prime Factorization of 74516

Prime Factorization of 74532

Now multiplying the highest exponent prime factors to calculate the LCM of 74516 and 74532.

LCM(74516,74532) = 2² × 13¹ × 1433¹ × 3¹ × 6211¹
LCM(74516,74532) = 1388456628