What is the Least Common Multiple of 32200 and 32216?

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 32200 and 32216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32200 and 32216, than apply into the LCM equation.

GCF(32200,32216) = 8
LCM(32200,32216) = ( 32200 × 32216) / 8
LCM(32200,32216) = 1037355200 / 8
LCM(32200,32216) = 129669400

Least Common Multiple (LCM) of 32200 and 32216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32200 and 32216. First we will calculate the prime factors of 32200 and 32216.

Prime Factorization of 32200

Prime Factorization of 32216

Now multiplying the highest exponent prime factors to calculate the LCM of 32200 and 32216.

LCM(32200,32216) = 2³ × 5² × 7¹ × 23¹ × 4027¹
LCM(32200,32216) = 129669400