What is the Least Common Multiple of 94854 and 94860?

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 94854 and 94860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94854 and 94860, than apply into the LCM equation.

GCF(94854,94860) = 6
LCM(94854,94860) = ( 94854 × 94860) / 6
LCM(94854,94860) = 8997850440 / 6
LCM(94854,94860) = 1499641740

Least Common Multiple (LCM) of 94854 and 94860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94854 and 94860. First we will calculate the prime factors of 94854 and 94860.

Prime Factorization of 94854

Prime Factorization of 94860

Now multiplying the highest exponent prime factors to calculate the LCM of 94854 and 94860.

LCM(94854,94860) = 2² × 3² × 15809¹ × 5¹ × 17¹ × 31¹
LCM(94854,94860) = 1499641740