What is the Least Common Multiple of 36354 and 36360?

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 36354 and 36360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36354 and 36360, than apply into the LCM equation.

GCF(36354,36360) = 6
LCM(36354,36360) = ( 36354 × 36360) / 6
LCM(36354,36360) = 1321831440 / 6
LCM(36354,36360) = 220305240

Least Common Multiple (LCM) of 36354 and 36360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36354 and 36360. First we will calculate the prime factors of 36354 and 36360.

Prime Factorization of 36354

Prime Factorization of 36360

Now multiplying the highest exponent prime factors to calculate the LCM of 36354 and 36360.

LCM(36354,36360) = 2³ × 3² × 73¹ × 83¹ × 5¹ × 101¹
LCM(36354,36360) = 220305240