What is the Least Common Multiple of 63474 and 63483?

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 63474 and 63483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63474 and 63483, than apply into the LCM equation.

GCF(63474,63483) = 3
LCM(63474,63483) = ( 63474 × 63483) / 3
LCM(63474,63483) = 4029519942 / 3
LCM(63474,63483) = 1343173314

Least Common Multiple (LCM) of 63474 and 63483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63474 and 63483. First we will calculate the prime factors of 63474 and 63483.

Prime Factorization of 63474

Prime Factorization of 63483

Now multiplying the highest exponent prime factors to calculate the LCM of 63474 and 63483.

LCM(63474,63483) = 2¹ × 3¹ × 71¹ × 149¹ × 7¹ × 3023¹
LCM(63474,63483) = 1343173314