What is the Least Common Multiple of 94085 and 94103?

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 94085 and 94103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94085 and 94103, than apply into the LCM equation.

GCF(94085,94103) = 1
LCM(94085,94103) = ( 94085 × 94103) / 1
LCM(94085,94103) = 8853680755 / 1
LCM(94085,94103) = 8853680755

Least Common Multiple (LCM) of 94085 and 94103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94085 and 94103. First we will calculate the prime factors of 94085 and 94103.

Prime Factorization of 94085

Prime Factorization of 94103

Now multiplying the highest exponent prime factors to calculate the LCM of 94085 and 94103.

LCM(94085,94103) = 5¹ × 31¹ × 607¹ × 139¹ × 677¹
LCM(94085,94103) = 8853680755