What is the Least Common Multiple of 95370 and 95385?

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 95370 and 95385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95370 and 95385, than apply into the LCM equation.

GCF(95370,95385) = 15
LCM(95370,95385) = ( 95370 × 95385) / 15
LCM(95370,95385) = 9096867450 / 15
LCM(95370,95385) = 606457830

Least Common Multiple (LCM) of 95370 and 95385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95370 and 95385. First we will calculate the prime factors of 95370 and 95385.

Prime Factorization of 95370

Prime Factorization of 95385

Now multiplying the highest exponent prime factors to calculate the LCM of 95370 and 95385.

LCM(95370,95385) = 2¹ × 3¹ × 5¹ × 11¹ × 17² × 6359¹
LCM(95370,95385) = 606457830