What is the Least Common Multiple of 50856 and 50864?

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 50856 and 50864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50856 and 50864, than apply into the LCM equation.

GCF(50856,50864) = 8
LCM(50856,50864) = ( 50856 × 50864) / 8
LCM(50856,50864) = 2586739584 / 8
LCM(50856,50864) = 323342448

Least Common Multiple (LCM) of 50856 and 50864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50856 and 50864. First we will calculate the prime factors of 50856 and 50864.

Prime Factorization of 50856

Prime Factorization of 50864

Now multiplying the highest exponent prime factors to calculate the LCM of 50856 and 50864.

LCM(50856,50864) = 2⁴ × 3¹ × 13¹ × 163¹ × 11¹ × 17²
LCM(50856,50864) = 323342448