What is the Least Common Multiple of 77700 and 77720?

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 77700 and 77720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77700 and 77720, than apply into the LCM equation.

GCF(77700,77720) = 20
LCM(77700,77720) = ( 77700 × 77720) / 20
LCM(77700,77720) = 6038844000 / 20
LCM(77700,77720) = 301942200

Least Common Multiple (LCM) of 77700 and 77720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77700 and 77720. First we will calculate the prime factors of 77700 and 77720.

Prime Factorization of 77700

Prime Factorization of 77720

Now multiplying the highest exponent prime factors to calculate the LCM of 77700 and 77720.

LCM(77700,77720) = 2³ × 3¹ × 5² × 7¹ × 37¹ × 29¹ × 67¹
LCM(77700,77720) = 301942200