What is the Least Common Multiple of 36224 and 36235?

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 36235 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 36235, than apply into the LCM equation.

GCF(36224,36235) = 1
LCM(36224,36235) = ( 36224 × 36235) / 1
LCM(36224,36235) = 1312576640 / 1
LCM(36224,36235) = 1312576640

Least Common Multiple (LCM) of 36224 and 36235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36224 and 36235. First we will calculate the prime factors of 36224 and 36235.

Prime Factorization of 36224

Prime Factorization of 36235

Now multiplying the highest exponent prime factors to calculate the LCM of 36224 and 36235.

LCM(36224,36235) = 2⁷ × 283¹ × 5¹ × 7247¹
LCM(36224,36235) = 1312576640