What is the Least Common Multiple of 95445 and 95460?

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 95445 and 95460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95445 and 95460, than apply into the LCM equation.

GCF(95445,95460) = 15
LCM(95445,95460) = ( 95445 × 95460) / 15
LCM(95445,95460) = 9111179700 / 15
LCM(95445,95460) = 607411980

Least Common Multiple (LCM) of 95445 and 95460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95445 and 95460. First we will calculate the prime factors of 95445 and 95460.

Prime Factorization of 95445

Prime Factorization of 95460

Now multiplying the highest exponent prime factors to calculate the LCM of 95445 and 95460.

LCM(95445,95460) = 3³ × 5¹ × 7¹ × 101¹ × 2² × 37¹ × 43¹
LCM(95445,95460) = 607411980