What is the Least Common Multiple of 62550 and 62570?

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 62550 and 62570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62550 and 62570, than apply into the LCM equation.

GCF(62550,62570) = 10
LCM(62550,62570) = ( 62550 × 62570) / 10
LCM(62550,62570) = 3913753500 / 10
LCM(62550,62570) = 391375350

Least Common Multiple (LCM) of 62550 and 62570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62550 and 62570. First we will calculate the prime factors of 62550 and 62570.

Prime Factorization of 62550

Prime Factorization of 62570

Now multiplying the highest exponent prime factors to calculate the LCM of 62550 and 62570.

LCM(62550,62570) = 2¹ × 3² × 5² × 139¹ × 6257¹
LCM(62550,62570) = 391375350