What is the Least Common Multiple of 60230 and 60249?

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 60230 and 60249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60230 and 60249, than apply into the LCM equation.

GCF(60230,60249) = 19
LCM(60230,60249) = ( 60230 × 60249) / 19
LCM(60230,60249) = 3628797270 / 19
LCM(60230,60249) = 190989330

Least Common Multiple (LCM) of 60230 and 60249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60230 and 60249. First we will calculate the prime factors of 60230 and 60249.

Prime Factorization of 60230

Prime Factorization of 60249

Now multiplying the highest exponent prime factors to calculate the LCM of 60230 and 60249.

LCM(60230,60249) = 2¹ × 5¹ × 19¹ × 317¹ × 3¹ × 7¹ × 151¹
LCM(60230,60249) = 190989330