What is the Least Common Multiple of 60876 and 60896?

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 60876 and 60896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60876 and 60896, than apply into the LCM equation.

GCF(60876,60896) = 4
LCM(60876,60896) = ( 60876 × 60896) / 4
LCM(60876,60896) = 3707104896 / 4
LCM(60876,60896) = 926776224

Least Common Multiple (LCM) of 60876 and 60896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60876 and 60896. First we will calculate the prime factors of 60876 and 60896.

Prime Factorization of 60876

Prime Factorization of 60896

Now multiplying the highest exponent prime factors to calculate the LCM of 60876 and 60896.

LCM(60876,60896) = 2⁵ × 3² × 19¹ × 89¹ × 11¹ × 173¹
LCM(60876,60896) = 926776224