What is the Least Common Multiple of 36840 and 36855?

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 36840 and 36855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36840 and 36855, than apply into the LCM equation.

GCF(36840,36855) = 15
LCM(36840,36855) = ( 36840 × 36855) / 15
LCM(36840,36855) = 1357738200 / 15
LCM(36840,36855) = 90515880

Least Common Multiple (LCM) of 36840 and 36855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36840 and 36855. First we will calculate the prime factors of 36840 and 36855.

Prime Factorization of 36840

Prime Factorization of 36855

Now multiplying the highest exponent prime factors to calculate the LCM of 36840 and 36855.

LCM(36840,36855) = 2³ × 3⁴ × 5¹ × 307¹ × 7¹ × 13¹
LCM(36840,36855) = 90515880