GCF and LCM Calculator Logo

What is the Least Common Multiple of 43619 and 43627?

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 43619 and 43627 is 1902966113.

LCM(43619,43627) = 1902966113

LCM Calculator and
and

Least Common Multiple of 43619 and 43627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43619 and 43627, than apply into the LCM equation.

GCF(43619,43627) = 1
LCM(43619,43627) = ( 43619 × 43627) / 1
LCM(43619,43627) = 1902966113 / 1
LCM(43619,43627) = 1902966113

Least Common Multiple (LCM) of 43619 and 43627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43619 and 43627. First we will calculate the prime factors of 43619 and 43627.

Prime Factorization of 43619

Prime factors of 43619 are 53, 823. Prime factorization of 43619 in exponential form is:

43619 = 531 × 8231

Prime Factorization of 43627

Prime factors of 43627 are 43627. Prime factorization of 43627 in exponential form is:

43627 = 436271

Now multiplying the highest exponent prime factors to calculate the LCM of 43619 and 43627.

LCM(43619,43627) = 531 × 8231 × 436271
LCM(43619,43627) = 1902966113