What is the Least Common Multiple of 50120 and 50138?

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 50120 and 50138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50120 and 50138, than apply into the LCM equation.

GCF(50120,50138) = 2
LCM(50120,50138) = ( 50120 × 50138) / 2
LCM(50120,50138) = 2512916560 / 2
LCM(50120,50138) = 1256458280

Least Common Multiple (LCM) of 50120 and 50138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50120 and 50138. First we will calculate the prime factors of 50120 and 50138.

Prime Factorization of 50120

Prime Factorization of 50138

Now multiplying the highest exponent prime factors to calculate the LCM of 50120 and 50138.

LCM(50120,50138) = 2³ × 5¹ × 7¹ × 179¹ × 11¹ × 43¹ × 53¹
LCM(50120,50138) = 1256458280