What is the Least Common Multiple of 51880 and 51896?

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 51880 and 51896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51880 and 51896, than apply into the LCM equation.

GCF(51880,51896) = 8
LCM(51880,51896) = ( 51880 × 51896) / 8
LCM(51880,51896) = 2692364480 / 8
LCM(51880,51896) = 336545560

Least Common Multiple (LCM) of 51880 and 51896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51880 and 51896. First we will calculate the prime factors of 51880 and 51896.

Prime Factorization of 51880

Prime Factorization of 51896

Now multiplying the highest exponent prime factors to calculate the LCM of 51880 and 51896.

LCM(51880,51896) = 2³ × 5¹ × 1297¹ × 13¹ × 499¹
LCM(51880,51896) = 336545560