What is the Least Common Multiple of 50328 and 50346?

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 50328 and 50346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50328 and 50346, than apply into the LCM equation.

GCF(50328,50346) = 18
LCM(50328,50346) = ( 50328 × 50346) / 18
LCM(50328,50346) = 2533813488 / 18
LCM(50328,50346) = 140767416

Least Common Multiple (LCM) of 50328 and 50346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50328 and 50346. First we will calculate the prime factors of 50328 and 50346.

Prime Factorization of 50328

Prime Factorization of 50346

Now multiplying the highest exponent prime factors to calculate the LCM of 50328 and 50346.

LCM(50328,50346) = 2³ × 3³ × 233¹ × 2797¹
LCM(50328,50346) = 140767416