What is the Least Common Multiple of 60338 and 60354?

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 60338 and 60354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60338 and 60354, than apply into the LCM equation.

GCF(60338,60354) = 2
LCM(60338,60354) = ( 60338 × 60354) / 2
LCM(60338,60354) = 3641639652 / 2
LCM(60338,60354) = 1820819826

Least Common Multiple (LCM) of 60338 and 60354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60338 and 60354. First we will calculate the prime factors of 60338 and 60354.

Prime Factorization of 60338

Prime Factorization of 60354

Now multiplying the highest exponent prime factors to calculate the LCM of 60338 and 60354.

LCM(60338,60354) = 2¹ × 30169¹ × 3² × 7¹ × 479¹
LCM(60338,60354) = 1820819826