What is the Least Common Multiple of 50540 and 50554?

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 50540 and 50554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50540 and 50554, than apply into the LCM equation.

GCF(50540,50554) = 14
LCM(50540,50554) = ( 50540 × 50554) / 14
LCM(50540,50554) = 2554999160 / 14
LCM(50540,50554) = 182499940

Least Common Multiple (LCM) of 50540 and 50554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50540 and 50554. First we will calculate the prime factors of 50540 and 50554.

Prime Factorization of 50540

Prime Factorization of 50554

Now multiplying the highest exponent prime factors to calculate the LCM of 50540 and 50554.

LCM(50540,50554) = 2² × 5¹ × 7¹ × 19² × 23¹ × 157¹
LCM(50540,50554) = 182499940