What is the Least Common Multiple of 58730 and 58749?

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 58730 and 58749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58730 and 58749, than apply into the LCM equation.

GCF(58730,58749) = 1
LCM(58730,58749) = ( 58730 × 58749) / 1
LCM(58730,58749) = 3450328770 / 1
LCM(58730,58749) = 3450328770

Least Common Multiple (LCM) of 58730 and 58749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58730 and 58749. First we will calculate the prime factors of 58730 and 58749.

Prime Factorization of 58730

Prime Factorization of 58749

Now multiplying the highest exponent prime factors to calculate the LCM of 58730 and 58749.

LCM(58730,58749) = 2¹ × 5¹ × 7¹ × 839¹ × 3¹ × 19583¹
LCM(58730,58749) = 3450328770