What is the Least Common Multiple of 60512 and 60517?

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 60512 and 60517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60512 and 60517, than apply into the LCM equation.

GCF(60512,60517) = 1
LCM(60512,60517) = ( 60512 × 60517) / 1
LCM(60512,60517) = 3662004704 / 1
LCM(60512,60517) = 3662004704

Least Common Multiple (LCM) of 60512 and 60517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60512 and 60517. First we will calculate the prime factors of 60512 and 60517.

Prime Factorization of 60512

Prime Factorization of 60517

Now multiplying the highest exponent prime factors to calculate the LCM of 60512 and 60517.

LCM(60512,60517) = 2⁵ × 31¹ × 61¹ × 73¹ × 829¹
LCM(60512,60517) = 3662004704