What is the Least Common Multiple of 95280 and 95289?

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 95280 and 95289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95280 and 95289, than apply into the LCM equation.

GCF(95280,95289) = 3
LCM(95280,95289) = ( 95280 × 95289) / 3
LCM(95280,95289) = 9079135920 / 3
LCM(95280,95289) = 3026378640

Least Common Multiple (LCM) of 95280 and 95289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95280 and 95289. First we will calculate the prime factors of 95280 and 95289.

Prime Factorization of 95280

Prime Factorization of 95289

Now multiplying the highest exponent prime factors to calculate the LCM of 95280 and 95289.

LCM(95280,95289) = 2⁴ × 3¹ × 5¹ × 397¹ × 23¹ × 1381¹
LCM(95280,95289) = 3026378640