What is the Least Common Multiple of 33712 and 33732?

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 33712 and 33732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33712 and 33732, than apply into the LCM equation.

GCF(33712,33732) = 4
LCM(33712,33732) = ( 33712 × 33732) / 4
LCM(33712,33732) = 1137173184 / 4
LCM(33712,33732) = 284293296

Least Common Multiple (LCM) of 33712 and 33732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33712 and 33732. First we will calculate the prime factors of 33712 and 33732.

Prime Factorization of 33712

Prime Factorization of 33732

Now multiplying the highest exponent prime factors to calculate the LCM of 33712 and 33732.

LCM(33712,33732) = 2⁴ × 7² × 43¹ × 3² × 937¹
LCM(33712,33732) = 284293296