What is the Least Common Multiple of 77840 and 77855?

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 77840 and 77855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77840 and 77855, than apply into the LCM equation.

GCF(77840,77855) = 5
LCM(77840,77855) = ( 77840 × 77855) / 5
LCM(77840,77855) = 6060233200 / 5
LCM(77840,77855) = 1212046640

Least Common Multiple (LCM) of 77840 and 77855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77840 and 77855. First we will calculate the prime factors of 77840 and 77855.

Prime Factorization of 77840

Prime Factorization of 77855

Now multiplying the highest exponent prime factors to calculate the LCM of 77840 and 77855.

LCM(77840,77855) = 2⁴ × 5¹ × 7¹ × 139¹ × 23¹ × 677¹
LCM(77840,77855) = 1212046640