What is the Least Common Multiple of 39492 and 39502?

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 39492 and 39502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39492 and 39502, than apply into the LCM equation.

GCF(39492,39502) = 2
LCM(39492,39502) = ( 39492 × 39502) / 2
LCM(39492,39502) = 1560012984 / 2
LCM(39492,39502) = 780006492

Least Common Multiple (LCM) of 39492 and 39502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39492 and 39502. First we will calculate the prime factors of 39492 and 39502.

Prime Factorization of 39492

Prime Factorization of 39502

Now multiplying the highest exponent prime factors to calculate the LCM of 39492 and 39502.

LCM(39492,39502) = 2² × 3² × 1097¹ × 19751¹
LCM(39492,39502) = 780006492