What is the Least Common Multiple of 2630 and 2649?

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 2630 and 2649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2630 and 2649, than apply into the LCM equation.

GCF(2630,2649) = 1
LCM(2630,2649) = ( 2630 × 2649) / 1
LCM(2630,2649) = 6966870 / 1
LCM(2630,2649) = 6966870

Least Common Multiple (LCM) of 2630 and 2649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2630 and 2649. First we will calculate the prime factors of 2630 and 2649.

Prime Factorization of 2630

Prime Factorization of 2649

Now multiplying the highest exponent prime factors to calculate the LCM of 2630 and 2649.

LCM(2630,2649) = 2¹ × 5¹ × 263¹ × 3¹ × 883¹
LCM(2630,2649) = 6966870