What is the Least Common Multiple of 4650 and 4668?

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 4650 and 4668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4650 and 4668, than apply into the LCM equation.

GCF(4650,4668) = 6
LCM(4650,4668) = ( 4650 × 4668) / 6
LCM(4650,4668) = 21706200 / 6
LCM(4650,4668) = 3617700

Least Common Multiple (LCM) of 4650 and 4668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4650 and 4668. First we will calculate the prime factors of 4650 and 4668.

Prime Factorization of 4650

Prime Factorization of 4668

Now multiplying the highest exponent prime factors to calculate the LCM of 4650 and 4668.

LCM(4650,4668) = 2² × 3¹ × 5² × 31¹ × 389¹
LCM(4650,4668) = 3617700