What is the Least Common Multiple of 62560 and 62566?

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 62566 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 62566, than apply into the LCM equation.

GCF(62560,62566) = 2
LCM(62560,62566) = ( 62560 × 62566) / 2
LCM(62560,62566) = 3914128960 / 2
LCM(62560,62566) = 1957064480

Least Common Multiple (LCM) of 62560 and 62566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62560 and 62566. First we will calculate the prime factors of 62560 and 62566.

Prime Factorization of 62560

Prime Factorization of 62566

Now multiplying the highest exponent prime factors to calculate the LCM of 62560 and 62566.

LCM(62560,62566) = 2⁵ × 5¹ × 17¹ × 23¹ × 7¹ × 41¹ × 109¹
LCM(62560,62566) = 1957064480