What is the Least Common Multiple of 61370 and 61390?

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 61370 and 61390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61370 and 61390, than apply into the LCM equation.

GCF(61370,61390) = 10
LCM(61370,61390) = ( 61370 × 61390) / 10
LCM(61370,61390) = 3767504300 / 10
LCM(61370,61390) = 376750430

Least Common Multiple (LCM) of 61370 and 61390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61370 and 61390. First we will calculate the prime factors of 61370 and 61390.

Prime Factorization of 61370

Prime Factorization of 61390

Now multiplying the highest exponent prime factors to calculate the LCM of 61370 and 61390.

LCM(61370,61390) = 2¹ × 5¹ × 17¹ × 19² × 7¹ × 877¹
LCM(61370,61390) = 376750430