What is the Least Common Multiple of 39550 and 39564?

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 39550 and 39564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39550 and 39564, than apply into the LCM equation.

GCF(39550,39564) = 14
LCM(39550,39564) = ( 39550 × 39564) / 14
LCM(39550,39564) = 1564756200 / 14
LCM(39550,39564) = 111768300

Least Common Multiple (LCM) of 39550 and 39564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39550 and 39564. First we will calculate the prime factors of 39550 and 39564.

Prime Factorization of 39550

Prime Factorization of 39564

Now multiplying the highest exponent prime factors to calculate the LCM of 39550 and 39564.

LCM(39550,39564) = 2² × 5² × 7¹ × 113¹ × 3² × 157¹
LCM(39550,39564) = 111768300