What is the Least Common Multiple of 50220 and 50229?

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 50220 and 50229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50220 and 50229, than apply into the LCM equation.

GCF(50220,50229) = 9
LCM(50220,50229) = ( 50220 × 50229) / 9
LCM(50220,50229) = 2522500380 / 9
LCM(50220,50229) = 280277820

Least Common Multiple (LCM) of 50220 and 50229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50220 and 50229. First we will calculate the prime factors of 50220 and 50229.

Prime Factorization of 50220

Prime Factorization of 50229

Now multiplying the highest exponent prime factors to calculate the LCM of 50220 and 50229.

LCM(50220,50229) = 2² × 3⁴ × 5¹ × 31¹ × 5581¹
LCM(50220,50229) = 280277820