What is the Least Common Multiple of 77022 and 77040?

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 77022 and 77040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77022 and 77040, than apply into the LCM equation.

GCF(77022,77040) = 18
LCM(77022,77040) = ( 77022 × 77040) / 18
LCM(77022,77040) = 5933774880 / 18
LCM(77022,77040) = 329654160

Least Common Multiple (LCM) of 77022 and 77040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77022 and 77040. First we will calculate the prime factors of 77022 and 77040.

Prime Factorization of 77022

Prime Factorization of 77040

Now multiplying the highest exponent prime factors to calculate the LCM of 77022 and 77040.

LCM(77022,77040) = 2⁴ × 3² × 11¹ × 389¹ × 5¹ × 107¹
LCM(77022,77040) = 329654160