What is the Least Common Multiple of 26952 and 26968?

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 26952 and 26968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26952 and 26968, than apply into the LCM equation.

GCF(26952,26968) = 8
LCM(26952,26968) = ( 26952 × 26968) / 8
LCM(26952,26968) = 726841536 / 8
LCM(26952,26968) = 90855192

Least Common Multiple (LCM) of 26952 and 26968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26952 and 26968. First we will calculate the prime factors of 26952 and 26968.

Prime Factorization of 26952

Prime Factorization of 26968

Now multiplying the highest exponent prime factors to calculate the LCM of 26952 and 26968.

LCM(26952,26968) = 2³ × 3¹ × 1123¹ × 3371¹
LCM(26952,26968) = 90855192