What is the Least Common Multiple of 39540 and 39550?

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 39540 and 39550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39540 and 39550, than apply into the LCM equation.

GCF(39540,39550) = 10
LCM(39540,39550) = ( 39540 × 39550) / 10
LCM(39540,39550) = 1563807000 / 10
LCM(39540,39550) = 156380700

Least Common Multiple (LCM) of 39540 and 39550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39540 and 39550. First we will calculate the prime factors of 39540 and 39550.

Prime Factorization of 39540

Prime Factorization of 39550

Now multiplying the highest exponent prime factors to calculate the LCM of 39540 and 39550.

LCM(39540,39550) = 2² × 3¹ × 5² × 659¹ × 7¹ × 113¹
LCM(39540,39550) = 156380700