What is the Least Common Multiple of 7720 and 7735?

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 7720 and 7735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7720 and 7735, than apply into the LCM equation.

GCF(7720,7735) = 5
LCM(7720,7735) = ( 7720 × 7735) / 5
LCM(7720,7735) = 59714200 / 5
LCM(7720,7735) = 11942840

Least Common Multiple (LCM) of 7720 and 7735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7720 and 7735. First we will calculate the prime factors of 7720 and 7735.

Prime Factorization of 7720

Prime Factorization of 7735

Now multiplying the highest exponent prime factors to calculate the LCM of 7720 and 7735.

LCM(7720,7735) = 2³ × 5¹ × 193¹ × 7¹ × 13¹ × 17¹
LCM(7720,7735) = 11942840