What is the Least Common Multiple of 32968 and 32972?

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 32968 and 32972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32968 and 32972, than apply into the LCM equation.

GCF(32968,32972) = 4
LCM(32968,32972) = ( 32968 × 32972) / 4
LCM(32968,32972) = 1087020896 / 4
LCM(32968,32972) = 271755224

Least Common Multiple (LCM) of 32968 and 32972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32968 and 32972. First we will calculate the prime factors of 32968 and 32972.

Prime Factorization of 32968

Prime Factorization of 32972

Now multiplying the highest exponent prime factors to calculate the LCM of 32968 and 32972.

LCM(32968,32972) = 2³ × 13¹ × 317¹ × 8243¹
LCM(32968,32972) = 271755224