What is the Least Common Multiple of 63616 and 63625?

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 63616 and 63625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63616 and 63625, than apply into the LCM equation.

GCF(63616,63625) = 1
LCM(63616,63625) = ( 63616 × 63625) / 1
LCM(63616,63625) = 4047568000 / 1
LCM(63616,63625) = 4047568000

Least Common Multiple (LCM) of 63616 and 63625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63616 and 63625. First we will calculate the prime factors of 63616 and 63625.

Prime Factorization of 63616

Prime Factorization of 63625

Now multiplying the highest exponent prime factors to calculate the LCM of 63616 and 63625.

LCM(63616,63625) = 2⁷ × 7¹ × 71¹ × 5³ × 509¹
LCM(63616,63625) = 4047568000