What is the Least Common Multiple of 61580 and 61593?

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 61580 and 61593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61580 and 61593, than apply into the LCM equation.

GCF(61580,61593) = 1
LCM(61580,61593) = ( 61580 × 61593) / 1
LCM(61580,61593) = 3792896940 / 1
LCM(61580,61593) = 3792896940

Least Common Multiple (LCM) of 61580 and 61593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61580 and 61593. First we will calculate the prime factors of 61580 and 61593.

Prime Factorization of 61580

Prime Factorization of 61593

Now multiplying the highest exponent prime factors to calculate the LCM of 61580 and 61593.

LCM(61580,61593) = 2² × 5¹ × 3079¹ × 3¹ × 7² × 419¹
LCM(61580,61593) = 3792896940