What is the Least Common Multiple of 29516 and 29532?

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 29516 and 29532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29516 and 29532, than apply into the LCM equation.

GCF(29516,29532) = 4
LCM(29516,29532) = ( 29516 × 29532) / 4
LCM(29516,29532) = 871666512 / 4
LCM(29516,29532) = 217916628

Least Common Multiple (LCM) of 29516 and 29532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29516 and 29532. First we will calculate the prime factors of 29516 and 29532.

Prime Factorization of 29516

Prime Factorization of 29532

Now multiplying the highest exponent prime factors to calculate the LCM of 29516 and 29532.

LCM(29516,29532) = 2² × 47¹ × 157¹ × 3¹ × 23¹ × 107¹
LCM(29516,29532) = 217916628