What is the Least Common Multiple of 63654 and 63664?

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 63654 and 63664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63654 and 63664, than apply into the LCM equation.

GCF(63654,63664) = 2
LCM(63654,63664) = ( 63654 × 63664) / 2
LCM(63654,63664) = 4052468256 / 2
LCM(63654,63664) = 2026234128

Least Common Multiple (LCM) of 63654 and 63664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63654 and 63664. First we will calculate the prime factors of 63654 and 63664.

Prime Factorization of 63654

Prime Factorization of 63664

Now multiplying the highest exponent prime factors to calculate the LCM of 63654 and 63664.

LCM(63654,63664) = 2⁴ × 3¹ × 103² × 23¹ × 173¹
LCM(63654,63664) = 2026234128