What is the Least Common Multiple of 60268 and 60282?

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 60282 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 60282, than apply into the LCM equation.

GCF(60268,60282) = 2
LCM(60268,60282) = ( 60268 × 60282) / 2
LCM(60268,60282) = 3633075576 / 2
LCM(60268,60282) = 1816537788

Least Common Multiple (LCM) of 60268 and 60282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60268 and 60282. First we will calculate the prime factors of 60268 and 60282.

Prime Factorization of 60268

Prime Factorization of 60282

Now multiplying the highest exponent prime factors to calculate the LCM of 60268 and 60282.

LCM(60268,60282) = 2² × 13¹ × 19¹ × 61¹ × 3² × 17¹ × 197¹
LCM(60268,60282) = 1816537788