What is the Least Common Multiple of 53930 and 53943?

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 53930 and 53943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53930 and 53943, than apply into the LCM equation.

GCF(53930,53943) = 1
LCM(53930,53943) = ( 53930 × 53943) / 1
LCM(53930,53943) = 2909145990 / 1
LCM(53930,53943) = 2909145990

Least Common Multiple (LCM) of 53930 and 53943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53930 and 53943. First we will calculate the prime factors of 53930 and 53943.

Prime Factorization of 53930

Prime Factorization of 53943

Now multiplying the highest exponent prime factors to calculate the LCM of 53930 and 53943.

LCM(53930,53943) = 2¹ × 5¹ × 5393¹ × 3¹ × 17981¹
LCM(53930,53943) = 2909145990