What is the Least Common Multiple of 58745 and 58765?

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 58745 and 58765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58745 and 58765, than apply into the LCM equation.

GCF(58745,58765) = 5
LCM(58745,58765) = ( 58745 × 58765) / 5
LCM(58745,58765) = 3452149925 / 5
LCM(58745,58765) = 690429985

Least Common Multiple (LCM) of 58745 and 58765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58745 and 58765. First we will calculate the prime factors of 58745 and 58765.

Prime Factorization of 58745

Prime Factorization of 58765

Now multiplying the highest exponent prime factors to calculate the LCM of 58745 and 58765.

LCM(58745,58765) = 5¹ × 31¹ × 379¹ × 7¹ × 23¹ × 73¹
LCM(58745,58765) = 690429985