What is the Least Common Multiple of 38820 and 38840?

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 38820 and 38840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38820 and 38840, than apply into the LCM equation.

GCF(38820,38840) = 20
LCM(38820,38840) = ( 38820 × 38840) / 20
LCM(38820,38840) = 1507768800 / 20
LCM(38820,38840) = 75388440

Least Common Multiple (LCM) of 38820 and 38840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38820 and 38840. First we will calculate the prime factors of 38820 and 38840.

Prime Factorization of 38820

Prime Factorization of 38840

Now multiplying the highest exponent prime factors to calculate the LCM of 38820 and 38840.

LCM(38820,38840) = 2³ × 3¹ × 5¹ × 647¹ × 971¹
LCM(38820,38840) = 75388440