What is the Least Common Multiple of 50346 and 50352?

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 50346 and 50352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50346 and 50352, than apply into the LCM equation.

GCF(50346,50352) = 6
LCM(50346,50352) = ( 50346 × 50352) / 6
LCM(50346,50352) = 2535021792 / 6
LCM(50346,50352) = 422503632

Least Common Multiple (LCM) of 50346 and 50352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50346 and 50352. First we will calculate the prime factors of 50346 and 50352.

Prime Factorization of 50346

Prime Factorization of 50352

Now multiplying the highest exponent prime factors to calculate the LCM of 50346 and 50352.

LCM(50346,50352) = 2⁴ × 3² × 2797¹ × 1049¹
LCM(50346,50352) = 422503632