What is the Least Common Multiple of 7740 and 7749?

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 7740 and 7749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7740 and 7749, than apply into the LCM equation.

GCF(7740,7749) = 9
LCM(7740,7749) = ( 7740 × 7749) / 9
LCM(7740,7749) = 59977260 / 9
LCM(7740,7749) = 6664140

Least Common Multiple (LCM) of 7740 and 7749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7740 and 7749. First we will calculate the prime factors of 7740 and 7749.

Prime Factorization of 7740

Prime Factorization of 7749

Now multiplying the highest exponent prime factors to calculate the LCM of 7740 and 7749.

LCM(7740,7749) = 2² × 3³ × 5¹ × 43¹ × 7¹ × 41¹
LCM(7740,7749) = 6664140