GCF and LCM Calculator Logo

What is the Least Common Multiple of 4619 and 4635?

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 (LCM) of 4619 and 4635 is 21409065.

LCM(4619,4635) = 21409065

LCM Calculator and
and

Least Common Multiple of 4619 and 4635 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 4635, than apply into the LCM equation.

GCF(4619,4635) = 1
LCM(4619,4635) = ( 4619 × 4635) / 1
LCM(4619,4635) = 21409065 / 1
LCM(4619,4635) = 21409065

Least Common Multiple (LCM) of 4619 and 4635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4619 and 4635. First we will calculate the prime factors of 4619 and 4635.

Prime Factorization of 4619

Prime factors of 4619 are 31, 149. Prime factorization of 4619 in exponential form is:

4619 = 311 × 1491

Prime Factorization of 4635

Prime factors of 4635 are 3, 5, 103. Prime factorization of 4635 in exponential form is:

4635 = 32 × 51 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 4619 and 4635.

LCM(4619,4635) = 311 × 1491 × 32 × 51 × 1031
LCM(4619,4635) = 21409065