What is the Least Common Multiple of 35952 and 35968?

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 35952 and 35968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35952 and 35968, than apply into the LCM equation.

GCF(35952,35968) = 16
LCM(35952,35968) = ( 35952 × 35968) / 16
LCM(35952,35968) = 1293121536 / 16
LCM(35952,35968) = 80820096

Least Common Multiple (LCM) of 35952 and 35968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35952 and 35968. First we will calculate the prime factors of 35952 and 35968.

Prime Factorization of 35952

Prime Factorization of 35968

Now multiplying the highest exponent prime factors to calculate the LCM of 35952 and 35968.

LCM(35952,35968) = 2⁷ × 3¹ × 7¹ × 107¹ × 281¹
LCM(35952,35968) = 80820096