What is the Least Common Multiple of 77696 and 77707?

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 77696 and 77707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77696 and 77707, than apply into the LCM equation.

GCF(77696,77707) = 1
LCM(77696,77707) = ( 77696 × 77707) / 1
LCM(77696,77707) = 6037523072 / 1
LCM(77696,77707) = 6037523072

Least Common Multiple (LCM) of 77696 and 77707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77696 and 77707. First we will calculate the prime factors of 77696 and 77707.

Prime Factorization of 77696

Prime Factorization of 77707

Now multiplying the highest exponent prime factors to calculate the LCM of 77696 and 77707.

LCM(77696,77707) = 2⁷ × 607¹ × 7¹ × 17¹ × 653¹
LCM(77696,77707) = 6037523072