What is the Least Common Multiple of 94130 and 94145?

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 94130 and 94145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94130 and 94145, than apply into the LCM equation.

GCF(94130,94145) = 5
LCM(94130,94145) = ( 94130 × 94145) / 5
LCM(94130,94145) = 8861868850 / 5
LCM(94130,94145) = 1772373770

Least Common Multiple (LCM) of 94130 and 94145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94130 and 94145. First we will calculate the prime factors of 94130 and 94145.

Prime Factorization of 94130

Prime Factorization of 94145

Now multiplying the highest exponent prime factors to calculate the LCM of 94130 and 94145.

LCM(94130,94145) = 2¹ × 5¹ × 9413¹ × 19¹ × 991¹
LCM(94130,94145) = 1772373770