What is the Least Common Multiple of 60278 and 60286?

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 60278 and 60286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60278 and 60286, than apply into the LCM equation.

GCF(60278,60286) = 2
LCM(60278,60286) = ( 60278 × 60286) / 2
LCM(60278,60286) = 3633919508 / 2
LCM(60278,60286) = 1816959754

Least Common Multiple (LCM) of 60278 and 60286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60278 and 60286. First we will calculate the prime factors of 60278 and 60286.

Prime Factorization of 60278

Prime Factorization of 60286

Now multiplying the highest exponent prime factors to calculate the LCM of 60278 and 60286.

LCM(60278,60286) = 2¹ × 30139¹ × 43¹ × 701¹
LCM(60278,60286) = 1816959754