What is the Least Common Multiple of 38920 and 38940?

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 38920 and 38940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38920 and 38940, than apply into the LCM equation.

GCF(38920,38940) = 20
LCM(38920,38940) = ( 38920 × 38940) / 20
LCM(38920,38940) = 1515544800 / 20
LCM(38920,38940) = 75777240

Least Common Multiple (LCM) of 38920 and 38940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38920 and 38940. First we will calculate the prime factors of 38920 and 38940.

Prime Factorization of 38920

Prime Factorization of 38940

Now multiplying the highest exponent prime factors to calculate the LCM of 38920 and 38940.

LCM(38920,38940) = 2³ × 5¹ × 7¹ × 139¹ × 3¹ × 11¹ × 59¹
LCM(38920,38940) = 75777240