What is the Least Common Multiple of 63695 and 63705?

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 63695 and 63705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63695 and 63705, than apply into the LCM equation.

GCF(63695,63705) = 5
LCM(63695,63705) = ( 63695 × 63705) / 5
LCM(63695,63705) = 4057689975 / 5
LCM(63695,63705) = 811537995

Least Common Multiple (LCM) of 63695 and 63705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63695 and 63705. First we will calculate the prime factors of 63695 and 63705.

Prime Factorization of 63695

Prime Factorization of 63705

Now multiplying the highest exponent prime factors to calculate the LCM of 63695 and 63705.

LCM(63695,63705) = 5¹ × 12739¹ × 3¹ × 31¹ × 137¹
LCM(63695,63705) = 811537995