What is the Least Common Multiple of 73186 and 73200?

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 73186 and 73200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73186 and 73200, than apply into the LCM equation.

GCF(73186,73200) = 2
LCM(73186,73200) = ( 73186 × 73200) / 2
LCM(73186,73200) = 5357215200 / 2
LCM(73186,73200) = 2678607600

Least Common Multiple (LCM) of 73186 and 73200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73186 and 73200. First we will calculate the prime factors of 73186 and 73200.

Prime Factorization of 73186

Prime Factorization of 73200

Now multiplying the highest exponent prime factors to calculate the LCM of 73186 and 73200.

LCM(73186,73200) = 2⁴ × 23¹ × 37¹ × 43¹ × 3¹ × 5² × 61¹
LCM(73186,73200) = 2678607600