What is the Least Common Multiple of 58684 and 58693?

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 58684 and 58693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58684 and 58693, than apply into the LCM equation.

GCF(58684,58693) = 1
LCM(58684,58693) = ( 58684 × 58693) / 1
LCM(58684,58693) = 3444340012 / 1
LCM(58684,58693) = 3444340012

Least Common Multiple (LCM) of 58684 and 58693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58684 and 58693. First we will calculate the prime factors of 58684 and 58693.

Prime Factorization of 58684

Prime Factorization of 58693

Now multiplying the highest exponent prime factors to calculate the LCM of 58684 and 58693.

LCM(58684,58693) = 2² × 17¹ × 863¹ × 58693¹
LCM(58684,58693) = 3444340012