What is the Least Common Multiple of 74217 and 74224?

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 74217 and 74224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74217 and 74224, than apply into the LCM equation.

GCF(74217,74224) = 1
LCM(74217,74224) = ( 74217 × 74224) / 1
LCM(74217,74224) = 5508682608 / 1
LCM(74217,74224) = 5508682608

Least Common Multiple (LCM) of 74217 and 74224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74217 and 74224. First we will calculate the prime factors of 74217 and 74224.

Prime Factorization of 74217

Prime Factorization of 74224

Now multiplying the highest exponent prime factors to calculate the LCM of 74217 and 74224.

LCM(74217,74224) = 3¹ × 11¹ × 13¹ × 173¹ × 2⁴ × 4639¹
LCM(74217,74224) = 5508682608