What is the Least Common Multiple of 62566 and 62576?

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 62566 and 62576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62566 and 62576, than apply into the LCM equation.

GCF(62566,62576) = 2
LCM(62566,62576) = ( 62566 × 62576) / 2
LCM(62566,62576) = 3915130016 / 2
LCM(62566,62576) = 1957565008

Least Common Multiple (LCM) of 62566 and 62576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62566 and 62576. First we will calculate the prime factors of 62566 and 62576.

Prime Factorization of 62566

Prime Factorization of 62576

Now multiplying the highest exponent prime factors to calculate the LCM of 62566 and 62576.

LCM(62566,62576) = 2⁴ × 7¹ × 41¹ × 109¹ × 3911¹
LCM(62566,62576) = 1957565008