What is the Least Common Multiple of 63417 and 63429?

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 63417 and 63429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63417 and 63429, than apply into the LCM equation.

GCF(63417,63429) = 3
LCM(63417,63429) = ( 63417 × 63429) / 3
LCM(63417,63429) = 4022476893 / 3
LCM(63417,63429) = 1340825631

Least Common Multiple (LCM) of 63417 and 63429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63417 and 63429. First we will calculate the prime factors of 63417 and 63429.

Prime Factorization of 63417

Prime Factorization of 63429

Now multiplying the highest exponent prime factors to calculate the LCM of 63417 and 63429.

LCM(63417,63429) = 3¹ × 21139¹ × 21143¹
LCM(63417,63429) = 1340825631