What is the Least Common Multiple of 17670 and 17677?

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 17670 and 17677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17670 and 17677, than apply into the LCM equation.

GCF(17670,17677) = 1
LCM(17670,17677) = ( 17670 × 17677) / 1
LCM(17670,17677) = 312352590 / 1
LCM(17670,17677) = 312352590

Least Common Multiple (LCM) of 17670 and 17677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17670 and 17677. First we will calculate the prime factors of 17670 and 17677.

Prime Factorization of 17670

Prime Factorization of 17677

Now multiplying the highest exponent prime factors to calculate the LCM of 17670 and 17677.

LCM(17670,17677) = 2¹ × 3¹ × 5¹ × 19¹ × 31¹ × 11¹ × 1607¹
LCM(17670,17677) = 312352590