What is the Least Common Multiple of 4619 and 4628?

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 4628 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 4628, than apply into the LCM equation.

GCF(4619,4628) = 1
LCM(4619,4628) = ( 4619 × 4628) / 1
LCM(4619,4628) = 21376732 / 1
LCM(4619,4628) = 21376732

Least Common Multiple (LCM) of 4619 and 4628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4619 and 4628. First we will calculate the prime factors of 4619 and 4628.

Prime Factorization of 4619

Prime Factorization of 4628

Now multiplying the highest exponent prime factors to calculate the LCM of 4619 and 4628.

LCM(4619,4628) = 31¹ × 149¹ × 2² × 13¹ × 89¹
LCM(4619,4628) = 21376732