What is the Least Common Multiple of 60050 and 60067?

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 60067 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 60067, than apply into the LCM equation.

GCF(60050,60067) = 1
LCM(60050,60067) = ( 60050 × 60067) / 1
LCM(60050,60067) = 3607023350 / 1
LCM(60050,60067) = 3607023350

Least Common Multiple (LCM) of 60050 and 60067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60050 and 60067. First we will calculate the prime factors of 60050 and 60067.

Prime Factorization of 60050

Prime Factorization of 60067

Now multiplying the highest exponent prime factors to calculate the LCM of 60050 and 60067.

LCM(60050,60067) = 2¹ × 5² × 1201¹ × 7¹ × 8581¹
LCM(60050,60067) = 3607023350