What is the Least Common Multiple of 63735 and 63747?

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 63735 and 63747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63735 and 63747, than apply into the LCM equation.

GCF(63735,63747) = 3
LCM(63735,63747) = ( 63735 × 63747) / 3
LCM(63735,63747) = 4062915045 / 3
LCM(63735,63747) = 1354305015

Least Common Multiple (LCM) of 63735 and 63747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63735 and 63747. First we will calculate the prime factors of 63735 and 63747.

Prime Factorization of 63735

Prime Factorization of 63747

Now multiplying the highest exponent prime factors to calculate the LCM of 63735 and 63747.

LCM(63735,63747) = 3⁴ × 5¹ × 7¹ × 607¹ × 787¹
LCM(63735,63747) = 1354305015