What is the Least Common Multiple of 50540 and 50545?

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 50545 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 50545, than apply into the LCM equation.

GCF(50540,50545) = 5
LCM(50540,50545) = ( 50540 × 50545) / 5
LCM(50540,50545) = 2554544300 / 5
LCM(50540,50545) = 510908860

Least Common Multiple (LCM) of 50540 and 50545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50540 and 50545. First we will calculate the prime factors of 50540 and 50545.

Prime Factorization of 50540

Prime Factorization of 50545

Now multiplying the highest exponent prime factors to calculate the LCM of 50540 and 50545.

LCM(50540,50545) = 2² × 5¹ × 7¹ × 19² × 11¹ × 919¹
LCM(50540,50545) = 510908860