What is the Least Common Multiple of 77896 and 77902?

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 77902 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 77902, than apply into the LCM equation.

GCF(77896,77902) = 2
LCM(77896,77902) = ( 77896 × 77902) / 2
LCM(77896,77902) = 6068254192 / 2
LCM(77896,77902) = 3034127096

Least Common Multiple (LCM) of 77896 and 77902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77896 and 77902. First we will calculate the prime factors of 77896 and 77902.

Prime Factorization of 77896

Prime Factorization of 77902

Now multiplying the highest exponent prime factors to calculate the LCM of 77896 and 77902.

LCM(77896,77902) = 2³ × 7¹ × 13¹ × 107¹ × 11¹ × 3541¹
LCM(77896,77902) = 3034127096