What is the Least Common Multiple of 50414 and 50432?

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 50414 and 50432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50414 and 50432, than apply into the LCM equation.

GCF(50414,50432) = 2
LCM(50414,50432) = ( 50414 × 50432) / 2
LCM(50414,50432) = 2542478848 / 2
LCM(50414,50432) = 1271239424

Least Common Multiple (LCM) of 50414 and 50432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50414 and 50432. First we will calculate the prime factors of 50414 and 50432.

Prime Factorization of 50414

Prime Factorization of 50432

Now multiplying the highest exponent prime factors to calculate the LCM of 50414 and 50432.

LCM(50414,50432) = 2⁸ × 7¹ × 13¹ × 277¹ × 197¹
LCM(50414,50432) = 1271239424