What is the Least Common Multiple of 95040 and 95058?

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 95040 and 95058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95040 and 95058, than apply into the LCM equation.

GCF(95040,95058) = 18
LCM(95040,95058) = ( 95040 × 95058) / 18
LCM(95040,95058) = 9034312320 / 18
LCM(95040,95058) = 501906240

Least Common Multiple (LCM) of 95040 and 95058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95040 and 95058. First we will calculate the prime factors of 95040 and 95058.

Prime Factorization of 95040

Prime Factorization of 95058

Now multiplying the highest exponent prime factors to calculate the LCM of 95040 and 95058.

LCM(95040,95058) = 2⁶ × 3³ × 5¹ × 11¹ × 5281¹
LCM(95040,95058) = 501906240