What is the Least Common Multiple of 77040 and 77055?

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 77040 and 77055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77040 and 77055, than apply into the LCM equation.

GCF(77040,77055) = 15
LCM(77040,77055) = ( 77040 × 77055) / 15
LCM(77040,77055) = 5936317200 / 15
LCM(77040,77055) = 395754480

Least Common Multiple (LCM) of 77040 and 77055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77040 and 77055. First we will calculate the prime factors of 77040 and 77055.

Prime Factorization of 77040

Prime Factorization of 77055

Now multiplying the highest exponent prime factors to calculate the LCM of 77040 and 77055.

LCM(77040,77055) = 2⁴ × 3² × 5¹ × 107¹ × 11¹ × 467¹
LCM(77040,77055) = 395754480