What is the Least Common Multiple of 36208 and 36216?

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 36208 and 36216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36208 and 36216, than apply into the LCM equation.

GCF(36208,36216) = 8
LCM(36208,36216) = ( 36208 × 36216) / 8
LCM(36208,36216) = 1311308928 / 8
LCM(36208,36216) = 163913616

Least Common Multiple (LCM) of 36208 and 36216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36208 and 36216. First we will calculate the prime factors of 36208 and 36216.

Prime Factorization of 36208

Prime Factorization of 36216

Now multiplying the highest exponent prime factors to calculate the LCM of 36208 and 36216.

LCM(36208,36216) = 2⁴ × 31¹ × 73¹ × 3² × 503¹
LCM(36208,36216) = 163913616