What is the Least Common Multiple of 58684 and 58703?

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 58703 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 58703, than apply into the LCM equation.

GCF(58684,58703) = 1
LCM(58684,58703) = ( 58684 × 58703) / 1
LCM(58684,58703) = 3444926852 / 1
LCM(58684,58703) = 3444926852

Least Common Multiple (LCM) of 58684 and 58703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58684 and 58703. First we will calculate the prime factors of 58684 and 58703.

Prime Factorization of 58684

Prime Factorization of 58703

Now multiplying the highest exponent prime factors to calculate the LCM of 58684 and 58703.

LCM(58684,58703) = 2² × 17¹ × 863¹ × 47¹ × 1249¹
LCM(58684,58703) = 3444926852