What is the Least Common Multiple of 60560 and 60578?

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 60560 and 60578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60560 and 60578, than apply into the LCM equation.

GCF(60560,60578) = 2
LCM(60560,60578) = ( 60560 × 60578) / 2
LCM(60560,60578) = 3668603680 / 2
LCM(60560,60578) = 1834301840

Least Common Multiple (LCM) of 60560 and 60578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60560 and 60578. First we will calculate the prime factors of 60560 and 60578.

Prime Factorization of 60560

Prime Factorization of 60578

Now multiplying the highest exponent prime factors to calculate the LCM of 60560 and 60578.

LCM(60560,60578) = 2⁴ × 5¹ × 757¹ × 7¹ × 4327¹
LCM(60560,60578) = 1834301840