What is the Least Common Multiple of 62560 and 62580?

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 62560 and 62580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62560 and 62580, than apply into the LCM equation.

GCF(62560,62580) = 20
LCM(62560,62580) = ( 62560 × 62580) / 20
LCM(62560,62580) = 3915004800 / 20
LCM(62560,62580) = 195750240

Least Common Multiple (LCM) of 62560 and 62580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62560 and 62580. First we will calculate the prime factors of 62560 and 62580.

Prime Factorization of 62560

Prime Factorization of 62580

Now multiplying the highest exponent prime factors to calculate the LCM of 62560 and 62580.

LCM(62560,62580) = 2⁵ × 5¹ × 17¹ × 23¹ × 3¹ × 7¹ × 149¹
LCM(62560,62580) = 195750240