What is the Least Common Multiple of 50368 and 50376?

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 50368 and 50376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50368 and 50376, than apply into the LCM equation.

GCF(50368,50376) = 8
LCM(50368,50376) = ( 50368 × 50376) / 8
LCM(50368,50376) = 2537338368 / 8
LCM(50368,50376) = 317167296

Least Common Multiple (LCM) of 50368 and 50376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50368 and 50376. First we will calculate the prime factors of 50368 and 50376.

Prime Factorization of 50368

Prime Factorization of 50376

Now multiplying the highest exponent prime factors to calculate the LCM of 50368 and 50376.

LCM(50368,50376) = 2⁶ × 787¹ × 3¹ × 2099¹
LCM(50368,50376) = 317167296