What is the Least Common Multiple of 58095 and 58107?

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 58107 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 58107, than apply into the LCM equation.

GCF(58095,58107) = 3
LCM(58095,58107) = ( 58095 × 58107) / 3
LCM(58095,58107) = 3375726165 / 3
LCM(58095,58107) = 1125242055

Least Common Multiple (LCM) of 58095 and 58107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58095 and 58107. First we will calculate the prime factors of 58095 and 58107.

Prime Factorization of 58095

Prime Factorization of 58107

Now multiplying the highest exponent prime factors to calculate the LCM of 58095 and 58107.

LCM(58095,58107) = 3² × 5¹ × 1291¹ × 7¹ × 2767¹
LCM(58095,58107) = 1125242055