What is the Least Common Multiple of 94100 and 94115?

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 94100 and 94115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94100 and 94115, than apply into the LCM equation.

GCF(94100,94115) = 5
LCM(94100,94115) = ( 94100 × 94115) / 5
LCM(94100,94115) = 8856221500 / 5
LCM(94100,94115) = 1771244300

Least Common Multiple (LCM) of 94100 and 94115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94100 and 94115. First we will calculate the prime factors of 94100 and 94115.

Prime Factorization of 94100

Prime Factorization of 94115

Now multiplying the highest exponent prime factors to calculate the LCM of 94100 and 94115.

LCM(94100,94115) = 2² × 5² × 941¹ × 7¹ × 2689¹
LCM(94100,94115) = 1771244300