What is the Least Common Multiple of 95130 and 95144?

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 95130 and 95144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95130 and 95144, than apply into the LCM equation.

GCF(95130,95144) = 14
LCM(95130,95144) = ( 95130 × 95144) / 14
LCM(95130,95144) = 9051048720 / 14
LCM(95130,95144) = 646503480

Least Common Multiple (LCM) of 95130 and 95144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95130 and 95144. First we will calculate the prime factors of 95130 and 95144.

Prime Factorization of 95130

Prime Factorization of 95144

Now multiplying the highest exponent prime factors to calculate the LCM of 95130 and 95144.

LCM(95130,95144) = 2³ × 3² × 5¹ × 7¹ × 151¹ × 1699¹
LCM(95130,95144) = 646503480