What is the Least Common Multiple of 58095 and 58100?

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 58095 and 58100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58095 and 58100, than apply into the LCM equation.

GCF(58095,58100) = 5
LCM(58095,58100) = ( 58095 × 58100) / 5
LCM(58095,58100) = 3375319500 / 5
LCM(58095,58100) = 675063900

Least Common Multiple (LCM) of 58095 and 58100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58095 and 58100. First we will calculate the prime factors of 58095 and 58100.

Prime Factorization of 58095

Prime Factorization of 58100

Now multiplying the highest exponent prime factors to calculate the LCM of 58095 and 58100.

LCM(58095,58100) = 3² × 5² × 1291¹ × 2² × 7¹ × 83¹
LCM(58095,58100) = 675063900