What is the Least Common Multiple of 50414 and 50430?

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 50430 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 50430, than apply into the LCM equation.

GCF(50414,50430) = 2
LCM(50414,50430) = ( 50414 × 50430) / 2
LCM(50414,50430) = 2542378020 / 2
LCM(50414,50430) = 1271189010

Least Common Multiple (LCM) of 50414 and 50430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50414 and 50430. First we will calculate the prime factors of 50414 and 50430.

Prime Factorization of 50414

Prime Factorization of 50430

Now multiplying the highest exponent prime factors to calculate the LCM of 50414 and 50430.

LCM(50414,50430) = 2¹ × 7¹ × 13¹ × 277¹ × 3¹ × 5¹ × 41²
LCM(50414,50430) = 1271189010