What is the Least Common Multiple of 51884 and 51894?

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 51884 and 51894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51884 and 51894, than apply into the LCM equation.

GCF(51884,51894) = 2
LCM(51884,51894) = ( 51884 × 51894) / 2
LCM(51884,51894) = 2692468296 / 2
LCM(51884,51894) = 1346234148

Least Common Multiple (LCM) of 51884 and 51894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51884 and 51894. First we will calculate the prime factors of 51884 and 51894.

Prime Factorization of 51884

Prime Factorization of 51894

Now multiplying the highest exponent prime factors to calculate the LCM of 51884 and 51894.

LCM(51884,51894) = 2² × 7¹ × 17¹ × 109¹ × 3³ × 31²
LCM(51884,51894) = 1346234148