What is the Least Common Multiple of 60050 and 60055?

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 60050 and 60055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60050 and 60055, than apply into the LCM equation.

GCF(60050,60055) = 5
LCM(60050,60055) = ( 60050 × 60055) / 5
LCM(60050,60055) = 3606302750 / 5
LCM(60050,60055) = 721260550

Least Common Multiple (LCM) of 60050 and 60055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60050 and 60055. First we will calculate the prime factors of 60050 and 60055.

Prime Factorization of 60050

Prime Factorization of 60055

Now multiplying the highest exponent prime factors to calculate the LCM of 60050 and 60055.

LCM(60050,60055) = 2¹ × 5² × 1201¹ × 12011¹
LCM(60050,60055) = 721260550