What is the Least Common Multiple of 77896 and 77906?

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 77896 and 77906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77896 and 77906, than apply into the LCM equation.

GCF(77896,77906) = 2
LCM(77896,77906) = ( 77896 × 77906) / 2
LCM(77896,77906) = 6068565776 / 2
LCM(77896,77906) = 3034282888

Least Common Multiple (LCM) of 77896 and 77906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77896 and 77906. First we will calculate the prime factors of 77896 and 77906.

Prime Factorization of 77896

Prime Factorization of 77906

Now multiplying the highest exponent prime factors to calculate the LCM of 77896 and 77906.

LCM(77896,77906) = 2³ × 7¹ × 13¹ × 107¹ × 38953¹
LCM(77896,77906) = 3034282888