What is the Least Common Multiple of 61270 and 61285?

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 61270 and 61285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61270 and 61285, than apply into the LCM equation.

GCF(61270,61285) = 5
LCM(61270,61285) = ( 61270 × 61285) / 5
LCM(61270,61285) = 3754931950 / 5
LCM(61270,61285) = 750986390

Least Common Multiple (LCM) of 61270 and 61285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61270 and 61285. First we will calculate the prime factors of 61270 and 61285.

Prime Factorization of 61270

Prime Factorization of 61285

Now multiplying the highest exponent prime factors to calculate the LCM of 61270 and 61285.

LCM(61270,61285) = 2¹ × 5¹ × 11¹ × 557¹ × 7¹ × 17¹ × 103¹
LCM(61270,61285) = 750986390