What is the Least Common Multiple of 4619 and 4636?

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 4619 and 4636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4619 and 4636, than apply into the LCM equation.

GCF(4619,4636) = 1
LCM(4619,4636) = ( 4619 × 4636) / 1
LCM(4619,4636) = 21413684 / 1
LCM(4619,4636) = 21413684

Least Common Multiple (LCM) of 4619 and 4636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4619 and 4636. First we will calculate the prime factors of 4619 and 4636.

Prime Factorization of 4619

Prime Factorization of 4636

Now multiplying the highest exponent prime factors to calculate the LCM of 4619 and 4636.

LCM(4619,4636) = 31¹ × 149¹ × 2² × 19¹ × 61¹
LCM(4619,4636) = 21413684