What is the Least Common Multiple of 62430 and 62450?

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 62430 and 62450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62430 and 62450, than apply into the LCM equation.

GCF(62430,62450) = 10
LCM(62430,62450) = ( 62430 × 62450) / 10
LCM(62430,62450) = 3898753500 / 10
LCM(62430,62450) = 389875350

Least Common Multiple (LCM) of 62430 and 62450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62430 and 62450. First we will calculate the prime factors of 62430 and 62450.

Prime Factorization of 62430

Prime Factorization of 62450

Now multiplying the highest exponent prime factors to calculate the LCM of 62430 and 62450.

LCM(62430,62450) = 2¹ × 3¹ × 5² × 2081¹ × 1249¹
LCM(62430,62450) = 389875350