What is the Least Common Multiple of 61478 and 61490?

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 61478 and 61490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61478 and 61490, than apply into the LCM equation.

GCF(61478,61490) = 2
LCM(61478,61490) = ( 61478 × 61490) / 2
LCM(61478,61490) = 3780282220 / 2
LCM(61478,61490) = 1890141110

Least Common Multiple (LCM) of 61478 and 61490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61478 and 61490. First we will calculate the prime factors of 61478 and 61490.

Prime Factorization of 61478

Prime Factorization of 61490

Now multiplying the highest exponent prime factors to calculate the LCM of 61478 and 61490.

LCM(61478,61490) = 2¹ × 59¹ × 521¹ × 5¹ × 11¹ × 13¹ × 43¹
LCM(61478,61490) = 1890141110