What is the Least Common Multiple of 66948 and 66967?

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 66948 and 66967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66948 and 66967, than apply into the LCM equation.

GCF(66948,66967) = 1
LCM(66948,66967) = ( 66948 × 66967) / 1
LCM(66948,66967) = 4483306716 / 1
LCM(66948,66967) = 4483306716

Least Common Multiple (LCM) of 66948 and 66967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66948 and 66967. First we will calculate the prime factors of 66948 and 66967.

Prime Factorization of 66948

Prime Factorization of 66967

Now multiplying the highest exponent prime factors to calculate the LCM of 66948 and 66967.

LCM(66948,66967) = 2² × 3¹ × 7¹ × 797¹ × 167¹ × 401¹
LCM(66948,66967) = 4483306716