What is the Least Common Multiple of 53698 and 53713?

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 53698 and 53713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53698 and 53713, than apply into the LCM equation.

GCF(53698,53713) = 1
LCM(53698,53713) = ( 53698 × 53713) / 1
LCM(53698,53713) = 2884280674 / 1
LCM(53698,53713) = 2884280674

Least Common Multiple (LCM) of 53698 and 53713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53698 and 53713. First we will calculate the prime factors of 53698 and 53713.

Prime Factorization of 53698

Prime Factorization of 53713

Now multiplying the highest exponent prime factors to calculate the LCM of 53698 and 53713.

LCM(53698,53713) = 2¹ × 26849¹ × 11¹ × 19¹ × 257¹
LCM(53698,53713) = 2884280674