What is the Least Common Multiple of 60238 and 60254?

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 60238 and 60254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60238 and 60254, than apply into the LCM equation.

GCF(60238,60254) = 2
LCM(60238,60254) = ( 60238 × 60254) / 2
LCM(60238,60254) = 3629580452 / 2
LCM(60238,60254) = 1814790226

Least Common Multiple (LCM) of 60238 and 60254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60238 and 60254. First we will calculate the prime factors of 60238 and 60254.

Prime Factorization of 60238

Prime Factorization of 60254

Now multiplying the highest exponent prime factors to calculate the LCM of 60238 and 60254.

LCM(60238,60254) = 2¹ × 30119¹ × 47¹ × 641¹
LCM(60238,60254) = 1814790226