What is the Least Common Multiple of 51844 and 51862?

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 51844 and 51862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51844 and 51862, than apply into the LCM equation.

GCF(51844,51862) = 2
LCM(51844,51862) = ( 51844 × 51862) / 2
LCM(51844,51862) = 2688733528 / 2
LCM(51844,51862) = 1344366764

Least Common Multiple (LCM) of 51844 and 51862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51844 and 51862. First we will calculate the prime factors of 51844 and 51862.

Prime Factorization of 51844

Prime Factorization of 51862

Now multiplying the highest exponent prime factors to calculate the LCM of 51844 and 51862.

LCM(51844,51862) = 2² × 13¹ × 997¹ × 25931¹
LCM(51844,51862) = 1344366764