What is the Least Common Multiple of 61340 and 61359?

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 61340 and 61359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61340 and 61359, than apply into the LCM equation.

GCF(61340,61359) = 1
LCM(61340,61359) = ( 61340 × 61359) / 1
LCM(61340,61359) = 3763761060 / 1
LCM(61340,61359) = 3763761060

Least Common Multiple (LCM) of 61340 and 61359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61340 and 61359. First we will calculate the prime factors of 61340 and 61359.

Prime Factorization of 61340

Prime Factorization of 61359

Now multiplying the highest exponent prime factors to calculate the LCM of 61340 and 61359.

LCM(61340,61359) = 2² × 5¹ × 3067¹ × 3¹ × 113¹ × 181¹
LCM(61340,61359) = 3763761060