What is the Least Common Multiple of 50050 and 50055?

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 50050 and 50055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50050 and 50055, than apply into the LCM equation.

GCF(50050,50055) = 5
LCM(50050,50055) = ( 50050 × 50055) / 5
LCM(50050,50055) = 2505252750 / 5
LCM(50050,50055) = 501050550

Least Common Multiple (LCM) of 50050 and 50055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50050 and 50055. First we will calculate the prime factors of 50050 and 50055.

Prime Factorization of 50050

Prime Factorization of 50055

Now multiplying the highest exponent prime factors to calculate the LCM of 50050 and 50055.

LCM(50050,50055) = 2¹ × 5² × 7¹ × 11¹ × 13¹ × 3¹ × 47¹ × 71¹
LCM(50050,50055) = 501050550