What is the Least Common Multiple of 67230 and 67245?

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 67230 and 67245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67230 and 67245, than apply into the LCM equation.

GCF(67230,67245) = 15
LCM(67230,67245) = ( 67230 × 67245) / 15
LCM(67230,67245) = 4520881350 / 15
LCM(67230,67245) = 301392090

Least Common Multiple (LCM) of 67230 and 67245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67230 and 67245. First we will calculate the prime factors of 67230 and 67245.

Prime Factorization of 67230

Prime Factorization of 67245

Now multiplying the highest exponent prime factors to calculate the LCM of 67230 and 67245.

LCM(67230,67245) = 2¹ × 3⁴ × 5¹ × 83¹ × 4483¹
LCM(67230,67245) = 301392090