What is the Least Common Multiple of 26712 and 26732?

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 26712 and 26732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26712 and 26732, than apply into the LCM equation.

GCF(26712,26732) = 4
LCM(26712,26732) = ( 26712 × 26732) / 4
LCM(26712,26732) = 714065184 / 4
LCM(26712,26732) = 178516296

Least Common Multiple (LCM) of 26712 and 26732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26712 and 26732. First we will calculate the prime factors of 26712 and 26732.

Prime Factorization of 26712

Prime Factorization of 26732

Now multiplying the highest exponent prime factors to calculate the LCM of 26712 and 26732.

LCM(26712,26732) = 2³ × 3² × 7¹ × 53¹ × 41¹ × 163¹
LCM(26712,26732) = 178516296