What is the Least Common Multiple of 6954 and 6972?

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 6954 and 6972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6954 and 6972, than apply into the LCM equation.

GCF(6954,6972) = 6
LCM(6954,6972) = ( 6954 × 6972) / 6
LCM(6954,6972) = 48483288 / 6
LCM(6954,6972) = 8080548

Least Common Multiple (LCM) of 6954 and 6972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6954 and 6972. First we will calculate the prime factors of 6954 and 6972.

Prime Factorization of 6954

Prime Factorization of 6972

Now multiplying the highest exponent prime factors to calculate the LCM of 6954 and 6972.

LCM(6954,6972) = 2² × 3¹ × 19¹ × 61¹ × 7¹ × 83¹
LCM(6954,6972) = 8080548