What is the Least Common Multiple of 60268 and 60280?

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 60268 and 60280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60268 and 60280, than apply into the LCM equation.

GCF(60268,60280) = 4
LCM(60268,60280) = ( 60268 × 60280) / 4
LCM(60268,60280) = 3632955040 / 4
LCM(60268,60280) = 908238760

Least Common Multiple (LCM) of 60268 and 60280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60268 and 60280. First we will calculate the prime factors of 60268 and 60280.

Prime Factorization of 60268

Prime Factorization of 60280

Now multiplying the highest exponent prime factors to calculate the LCM of 60268 and 60280.

LCM(60268,60280) = 2³ × 13¹ × 19¹ × 61¹ × 5¹ × 11¹ × 137¹
LCM(60268,60280) = 908238760