What is the Least Common Multiple of 36224 and 36239?

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 36224 and 36239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36224 and 36239, than apply into the LCM equation.

GCF(36224,36239) = 1
LCM(36224,36239) = ( 36224 × 36239) / 1
LCM(36224,36239) = 1312721536 / 1
LCM(36224,36239) = 1312721536

Least Common Multiple (LCM) of 36224 and 36239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36224 and 36239. First we will calculate the prime factors of 36224 and 36239.

Prime Factorization of 36224

Prime Factorization of 36239

Now multiplying the highest exponent prime factors to calculate the LCM of 36224 and 36239.

LCM(36224,36239) = 2⁷ × 283¹ × 7¹ × 31¹ × 167¹
LCM(36224,36239) = 1312721536