What is the Least Common Multiple of 10953 and 10971?

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 10953 and 10971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10953 and 10971, than apply into the LCM equation.

GCF(10953,10971) = 9
LCM(10953,10971) = ( 10953 × 10971) / 9
LCM(10953,10971) = 120165363 / 9
LCM(10953,10971) = 13351707

Least Common Multiple (LCM) of 10953 and 10971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10953 and 10971. First we will calculate the prime factors of 10953 and 10971.

Prime Factorization of 10953

Prime Factorization of 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 10953 and 10971.

LCM(10953,10971) = 3² × 1217¹ × 23¹ × 53¹
LCM(10953,10971) = 13351707