What is the Least Common Multiple of 39520 and 39538?

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 39520 and 39538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39520 and 39538, than apply into the LCM equation.

GCF(39520,39538) = 2
LCM(39520,39538) = ( 39520 × 39538) / 2
LCM(39520,39538) = 1562541760 / 2
LCM(39520,39538) = 781270880

Least Common Multiple (LCM) of 39520 and 39538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39520 and 39538. First we will calculate the prime factors of 39520 and 39538.

Prime Factorization of 39520

Prime Factorization of 39538

Now multiplying the highest exponent prime factors to calculate the LCM of 39520 and 39538.

LCM(39520,39538) = 2⁵ × 5¹ × 13¹ × 19¹ × 53¹ × 373¹
LCM(39520,39538) = 781270880