What is the Least Common Multiple of 58614 and 58619?

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 58614 and 58619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58614 and 58619, than apply into the LCM equation.

GCF(58614,58619) = 1
LCM(58614,58619) = ( 58614 × 58619) / 1
LCM(58614,58619) = 3435894066 / 1
LCM(58614,58619) = 3435894066

Least Common Multiple (LCM) of 58614 and 58619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58614 and 58619. First we will calculate the prime factors of 58614 and 58619.

Prime Factorization of 58614

Prime Factorization of 58619

Now multiplying the highest exponent prime factors to calculate the LCM of 58614 and 58619.

LCM(58614,58619) = 2¹ × 3¹ × 9769¹ × 11¹ × 73²
LCM(58614,58619) = 3435894066