What is the Least Common Multiple of 95460 and 95465?

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 95460 and 95465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95460 and 95465, than apply into the LCM equation.

GCF(95460,95465) = 5
LCM(95460,95465) = ( 95460 × 95465) / 5
LCM(95460,95465) = 9113088900 / 5
LCM(95460,95465) = 1822617780

Least Common Multiple (LCM) of 95460 and 95465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95460 and 95465. First we will calculate the prime factors of 95460 and 95465.

Prime Factorization of 95460

Prime Factorization of 95465

Now multiplying the highest exponent prime factors to calculate the LCM of 95460 and 95465.

LCM(95460,95465) = 2² × 3¹ × 5¹ × 37¹ × 43¹ × 61¹ × 313¹
LCM(95460,95465) = 1822617780