What is the Least Common Multiple of 62458 and 62475?

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 62458 and 62475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62458 and 62475, than apply into the LCM equation.

GCF(62458,62475) = 17
LCM(62458,62475) = ( 62458 × 62475) / 17
LCM(62458,62475) = 3902063550 / 17
LCM(62458,62475) = 229533150

Least Common Multiple (LCM) of 62458 and 62475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62458 and 62475. First we will calculate the prime factors of 62458 and 62475.

Prime Factorization of 62458

Prime Factorization of 62475

Now multiplying the highest exponent prime factors to calculate the LCM of 62458 and 62475.

LCM(62458,62475) = 2¹ × 11¹ × 17¹ × 167¹ × 3¹ × 5² × 7²
LCM(62458,62475) = 229533150