What is the Least Common Multiple of 95016 and 95034?

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 95016 and 95034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95016 and 95034, than apply into the LCM equation.

GCF(95016,95034) = 6
LCM(95016,95034) = ( 95016 × 95034) / 6
LCM(95016,95034) = 9029750544 / 6
LCM(95016,95034) = 1504958424

Least Common Multiple (LCM) of 95016 and 95034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95016 and 95034. First we will calculate the prime factors of 95016 and 95034.

Prime Factorization of 95016

Prime Factorization of 95034

Now multiplying the highest exponent prime factors to calculate the LCM of 95016 and 95034.

LCM(95016,95034) = 2³ × 3¹ × 37¹ × 107¹ × 47¹ × 337¹
LCM(95016,95034) = 1504958424