What is the Least Common Multiple of 50232 and 50244?

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 50232 and 50244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50232 and 50244, than apply into the LCM equation.

GCF(50232,50244) = 12
LCM(50232,50244) = ( 50232 × 50244) / 12
LCM(50232,50244) = 2523856608 / 12
LCM(50232,50244) = 210321384

Least Common Multiple (LCM) of 50232 and 50244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50232 and 50244. First we will calculate the prime factors of 50232 and 50244.

Prime Factorization of 50232

Prime Factorization of 50244

Now multiplying the highest exponent prime factors to calculate the LCM of 50232 and 50244.

LCM(50232,50244) = 2³ × 3¹ × 7¹ × 13¹ × 23¹ × 53¹ × 79¹
LCM(50232,50244) = 210321384