What is the Least Common Multiple of 63451 and 63456?

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 63451 and 63456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63451 and 63456, than apply into the LCM equation.

GCF(63451,63456) = 1
LCM(63451,63456) = ( 63451 × 63456) / 1
LCM(63451,63456) = 4026346656 / 1
LCM(63451,63456) = 4026346656

Least Common Multiple (LCM) of 63451 and 63456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63451 and 63456. First we will calculate the prime factors of 63451 and 63456.

Prime Factorization of 63451

Prime Factorization of 63456

Now multiplying the highest exponent prime factors to calculate the LCM of 63451 and 63456.

LCM(63451,63456) = 107¹ × 593¹ × 2⁵ × 3¹ × 661¹
LCM(63451,63456) = 4026346656