What is the Least Common Multiple of 94513 and 94526?

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 94513 and 94526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94513 and 94526, than apply into the LCM equation.

GCF(94513,94526) = 1
LCM(94513,94526) = ( 94513 × 94526) / 1
LCM(94513,94526) = 8933935838 / 1
LCM(94513,94526) = 8933935838

Least Common Multiple (LCM) of 94513 and 94526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94513 and 94526. First we will calculate the prime factors of 94513 and 94526.

Prime Factorization of 94513

Prime Factorization of 94526

Now multiplying the highest exponent prime factors to calculate the LCM of 94513 and 94526.

LCM(94513,94526) = 94513¹ × 2¹ × 151¹ × 313¹
LCM(94513,94526) = 8933935838