What is the Least Common Multiple of 94460 and 94475?

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 94460 and 94475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94460 and 94475, than apply into the LCM equation.

GCF(94460,94475) = 5
LCM(94460,94475) = ( 94460 × 94475) / 5
LCM(94460,94475) = 8924108500 / 5
LCM(94460,94475) = 1784821700

Least Common Multiple (LCM) of 94460 and 94475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94460 and 94475. First we will calculate the prime factors of 94460 and 94475.

Prime Factorization of 94460

Prime Factorization of 94475

Now multiplying the highest exponent prime factors to calculate the LCM of 94460 and 94475.

LCM(94460,94475) = 2² × 5² × 4723¹ × 3779¹
LCM(94460,94475) = 1784821700