What is the Least Common Multiple of 50415 and 50428?

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 50415 and 50428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50415 and 50428, than apply into the LCM equation.

GCF(50415,50428) = 1
LCM(50415,50428) = ( 50415 × 50428) / 1
LCM(50415,50428) = 2542327620 / 1
LCM(50415,50428) = 2542327620

Least Common Multiple (LCM) of 50415 and 50428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50415 and 50428. First we will calculate the prime factors of 50415 and 50428.

Prime Factorization of 50415

Prime Factorization of 50428

Now multiplying the highest exponent prime factors to calculate the LCM of 50415 and 50428.

LCM(50415,50428) = 3¹ × 5¹ × 3361¹ × 2² × 7¹ × 1801¹
LCM(50415,50428) = 2542327620