What is the Least Common Multiple of 67224 and 67230?

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 67224 and 67230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67224 and 67230, than apply into the LCM equation.

GCF(67224,67230) = 6
LCM(67224,67230) = ( 67224 × 67230) / 6
LCM(67224,67230) = 4519469520 / 6
LCM(67224,67230) = 753244920

Least Common Multiple (LCM) of 67224 and 67230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67224 and 67230. First we will calculate the prime factors of 67224 and 67230.

Prime Factorization of 67224

Prime Factorization of 67230

Now multiplying the highest exponent prime factors to calculate the LCM of 67224 and 67230.

LCM(67224,67230) = 2³ × 3⁴ × 2801¹ × 5¹ × 83¹
LCM(67224,67230) = 753244920