What is the Least Common Multiple of 39496 and 39508?

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 39496 and 39508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39496 and 39508, than apply into the LCM equation.

GCF(39496,39508) = 4
LCM(39496,39508) = ( 39496 × 39508) / 4
LCM(39496,39508) = 1560407968 / 4
LCM(39496,39508) = 390101992

Least Common Multiple (LCM) of 39496 and 39508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39496 and 39508. First we will calculate the prime factors of 39496 and 39508.

Prime Factorization of 39496

Prime Factorization of 39508

Now multiplying the highest exponent prime factors to calculate the LCM of 39496 and 39508.

LCM(39496,39508) = 2³ × 4937¹ × 7¹ × 17¹ × 83¹
LCM(39496,39508) = 390101992