What is the Least Common Multiple of 63458 and 63474?

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 63458 and 63474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63458 and 63474, than apply into the LCM equation.

GCF(63458,63474) = 2
LCM(63458,63474) = ( 63458 × 63474) / 2
LCM(63458,63474) = 4027933092 / 2
LCM(63458,63474) = 2013966546

Least Common Multiple (LCM) of 63458 and 63474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63458 and 63474. First we will calculate the prime factors of 63458 and 63474.

Prime Factorization of 63458

Prime Factorization of 63474

Now multiplying the highest exponent prime factors to calculate the LCM of 63458 and 63474.

LCM(63458,63474) = 2¹ × 31729¹ × 3¹ × 71¹ × 149¹
LCM(63458,63474) = 2013966546