What is the Least Common Multiple of 62512 and 62532?

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 62512 and 62532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62512 and 62532, than apply into the LCM equation.

GCF(62512,62532) = 4
LCM(62512,62532) = ( 62512 × 62532) / 4
LCM(62512,62532) = 3909000384 / 4
LCM(62512,62532) = 977250096

Least Common Multiple (LCM) of 62512 and 62532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62512 and 62532. First we will calculate the prime factors of 62512 and 62532.

Prime Factorization of 62512

Prime Factorization of 62532

Now multiplying the highest exponent prime factors to calculate the LCM of 62512 and 62532.

LCM(62512,62532) = 2⁴ × 3907¹ × 3⁴ × 193¹
LCM(62512,62532) = 977250096