What is the Least Common Multiple of 60280 and 60287?

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 60280 and 60287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60280 and 60287, than apply into the LCM equation.

GCF(60280,60287) = 1
LCM(60280,60287) = ( 60280 × 60287) / 1
LCM(60280,60287) = 3634100360 / 1
LCM(60280,60287) = 3634100360

Least Common Multiple (LCM) of 60280 and 60287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60280 and 60287. First we will calculate the prime factors of 60280 and 60287.

Prime Factorization of 60280

Prime Factorization of 60287

Now multiplying the highest exponent prime factors to calculate the LCM of 60280 and 60287.

LCM(60280,60287) = 2³ × 5¹ × 11¹ × 137¹ × 19² × 167¹
LCM(60280,60287) = 3634100360