What is the Least Common Multiple of 94838 and 94846?

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 94838 and 94846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94838 and 94846, than apply into the LCM equation.

GCF(94838,94846) = 2
LCM(94838,94846) = ( 94838 × 94846) / 2
LCM(94838,94846) = 8995004948 / 2
LCM(94838,94846) = 4497502474

Least Common Multiple (LCM) of 94838 and 94846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94838 and 94846. First we will calculate the prime factors of 94838 and 94846.

Prime Factorization of 94838

Prime Factorization of 94846

Now multiplying the highest exponent prime factors to calculate the LCM of 94838 and 94846.

LCM(94838,94846) = 2¹ × 47419¹ × 47¹ × 1009¹
LCM(94838,94846) = 4497502474