What is the Least Common Multiple of 77768 and 77786?

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 77768 and 77786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77768 and 77786, than apply into the LCM equation.

GCF(77768,77786) = 2
LCM(77768,77786) = ( 77768 × 77786) / 2
LCM(77768,77786) = 6049261648 / 2
LCM(77768,77786) = 3024630824

Least Common Multiple (LCM) of 77768 and 77786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77768 and 77786. First we will calculate the prime factors of 77768 and 77786.

Prime Factorization of 77768

Prime Factorization of 77786

Now multiplying the highest exponent prime factors to calculate the LCM of 77768 and 77786.

LCM(77768,77786) = 2³ × 9721¹ × 19¹ × 23¹ × 89¹
LCM(77768,77786) = 3024630824