What is the Least Common Multiple of 63438 and 63450?

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 63438 and 63450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63438 and 63450, than apply into the LCM equation.

GCF(63438,63450) = 6
LCM(63438,63450) = ( 63438 × 63450) / 6
LCM(63438,63450) = 4025141100 / 6
LCM(63438,63450) = 670856850

Least Common Multiple (LCM) of 63438 and 63450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63438 and 63450. First we will calculate the prime factors of 63438 and 63450.

Prime Factorization of 63438

Prime Factorization of 63450

Now multiplying the highest exponent prime factors to calculate the LCM of 63438 and 63450.

LCM(63438,63450) = 2¹ × 3³ × 97¹ × 109¹ × 5² × 47¹
LCM(63438,63450) = 670856850