What is the Least Common Multiple of 51896 and 51910?

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 51896 and 51910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51896 and 51910, than apply into the LCM equation.

GCF(51896,51910) = 2
LCM(51896,51910) = ( 51896 × 51910) / 2
LCM(51896,51910) = 2693921360 / 2
LCM(51896,51910) = 1346960680

Least Common Multiple (LCM) of 51896 and 51910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51896 and 51910. First we will calculate the prime factors of 51896 and 51910.

Prime Factorization of 51896

Prime Factorization of 51910

Now multiplying the highest exponent prime factors to calculate the LCM of 51896 and 51910.

LCM(51896,51910) = 2³ × 13¹ × 499¹ × 5¹ × 29¹ × 179¹
LCM(51896,51910) = 1346960680