What is the Least Common Multiple of 63741 and 63759?

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 63741 and 63759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63741 and 63759, than apply into the LCM equation.

GCF(63741,63759) = 3
LCM(63741,63759) = ( 63741 × 63759) / 3
LCM(63741,63759) = 4064062419 / 3
LCM(63741,63759) = 1354687473

Least Common Multiple (LCM) of 63741 and 63759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63741 and 63759. First we will calculate the prime factors of 63741 and 63759.

Prime Factorization of 63741

Prime Factorization of 63759

Now multiplying the highest exponent prime factors to calculate the LCM of 63741 and 63759.

LCM(63741,63759) = 3¹ × 21247¹ × 53¹ × 401¹
LCM(63741,63759) = 1354687473