What is the Least Common Multiple of 63723 and 63727?

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 63723 and 63727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63723 and 63727, than apply into the LCM equation.

GCF(63723,63727) = 1
LCM(63723,63727) = ( 63723 × 63727) / 1
LCM(63723,63727) = 4060875621 / 1
LCM(63723,63727) = 4060875621

Least Common Multiple (LCM) of 63723 and 63727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63723 and 63727. First we will calculate the prime factors of 63723 and 63727.

Prime Factorization of 63723

Prime Factorization of 63727

Now multiplying the highest exponent prime factors to calculate the LCM of 63723 and 63727.

LCM(63723,63727) = 3¹ × 11¹ × 1931¹ × 63727¹
LCM(63723,63727) = 4060875621