What is the Least Common Multiple of 63450 and 63458?

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 63450 and 63458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63450 and 63458, than apply into the LCM equation.

GCF(63450,63458) = 2
LCM(63450,63458) = ( 63450 × 63458) / 2
LCM(63450,63458) = 4026410100 / 2
LCM(63450,63458) = 2013205050

Least Common Multiple (LCM) of 63450 and 63458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63450 and 63458. First we will calculate the prime factors of 63450 and 63458.

Prime Factorization of 63450

Prime Factorization of 63458

Now multiplying the highest exponent prime factors to calculate the LCM of 63450 and 63458.

LCM(63450,63458) = 2¹ × 3³ × 5² × 47¹ × 31729¹
LCM(63450,63458) = 2013205050