What is the Least Common Multiple of 62560 and 62574?

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 62574 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 62574, than apply into the LCM equation.

GCF(62560,62574) = 2
LCM(62560,62574) = ( 62560 × 62574) / 2
LCM(62560,62574) = 3914629440 / 2
LCM(62560,62574) = 1957314720

Least Common Multiple (LCM) of 62560 and 62574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62560 and 62574. First we will calculate the prime factors of 62560 and 62574.

Prime Factorization of 62560

Prime Factorization of 62574

Now multiplying the highest exponent prime factors to calculate the LCM of 62560 and 62574.

LCM(62560,62574) = 2⁵ × 5¹ × 17¹ × 23¹ × 3¹ × 10429¹
LCM(62560,62574) = 1957314720