What is the Least Common Multiple of 77806 and 77813?

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 77806 and 77813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77806 and 77813, than apply into the LCM equation.

GCF(77806,77813) = 1
LCM(77806,77813) = ( 77806 × 77813) / 1
LCM(77806,77813) = 6054318278 / 1
LCM(77806,77813) = 6054318278

Least Common Multiple (LCM) of 77806 and 77813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77806 and 77813. First we will calculate the prime factors of 77806 and 77813.

Prime Factorization of 77806

Prime Factorization of 77813

Now multiplying the highest exponent prime factors to calculate the LCM of 77806 and 77813.

LCM(77806,77813) = 2¹ × 38903¹ × 77813¹
LCM(77806,77813) = 6054318278