What is the Least Common Multiple of 2670 and 2677?

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 2670 and 2677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2670 and 2677, than apply into the LCM equation.

GCF(2670,2677) = 1
LCM(2670,2677) = ( 2670 × 2677) / 1
LCM(2670,2677) = 7147590 / 1
LCM(2670,2677) = 7147590

Least Common Multiple (LCM) of 2670 and 2677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2670 and 2677. First we will calculate the prime factors of 2670 and 2677.

Prime Factorization of 2670

Prime Factorization of 2677

Now multiplying the highest exponent prime factors to calculate the LCM of 2670 and 2677.

LCM(2670,2677) = 2¹ × 3¹ × 5¹ × 89¹ × 2677¹
LCM(2670,2677) = 7147590