What is the Least Common Multiple of 62478 and 62490?

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 62478 and 62490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62478 and 62490, than apply into the LCM equation.

GCF(62478,62490) = 6
LCM(62478,62490) = ( 62478 × 62490) / 6
LCM(62478,62490) = 3904250220 / 6
LCM(62478,62490) = 650708370

Least Common Multiple (LCM) of 62478 and 62490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62478 and 62490. First we will calculate the prime factors of 62478 and 62490.

Prime Factorization of 62478

Prime Factorization of 62490

Now multiplying the highest exponent prime factors to calculate the LCM of 62478 and 62490.

LCM(62478,62490) = 2¹ × 3³ × 13¹ × 89¹ × 5¹ × 2083¹
LCM(62478,62490) = 650708370