What is the Least Common Multiple of 50414 and 50422?

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 50422 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 50422, than apply into the LCM equation.

GCF(50414,50422) = 2
LCM(50414,50422) = ( 50414 × 50422) / 2
LCM(50414,50422) = 2541974708 / 2
LCM(50414,50422) = 1270987354

Least Common Multiple (LCM) of 50414 and 50422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50414 and 50422. First we will calculate the prime factors of 50414 and 50422.

Prime Factorization of 50414

Prime Factorization of 50422

Now multiplying the highest exponent prime factors to calculate the LCM of 50414 and 50422.

LCM(50414,50422) = 2¹ × 7¹ × 13¹ × 277¹ × 17¹ × 1483¹
LCM(50414,50422) = 1270987354