What is the Least Common Multiple of 20124 and 20137?

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 20124 and 20137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20124 and 20137, than apply into the LCM equation.

GCF(20124,20137) = 13
LCM(20124,20137) = ( 20124 × 20137) / 13
LCM(20124,20137) = 405236988 / 13
LCM(20124,20137) = 31172076

Least Common Multiple (LCM) of 20124 and 20137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20124 and 20137. First we will calculate the prime factors of 20124 and 20137.

Prime Factorization of 20124

Prime Factorization of 20137

Now multiplying the highest exponent prime factors to calculate the LCM of 20124 and 20137.

LCM(20124,20137) = 2² × 3² × 13¹ × 43¹ × 1549¹
LCM(20124,20137) = 31172076