What is the Least Common Multiple of 77798 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 77798 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 77798 and 77813, than apply into the LCM equation.

GCF(77798,77813) = 1
LCM(77798,77813) = ( 77798 × 77813) / 1
LCM(77798,77813) = 6053695774 / 1
LCM(77798,77813) = 6053695774

Least Common Multiple (LCM) of 77798 and 77813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77798 and 77813. First we will calculate the prime factors of 77798 and 77813.

Prime Factorization of 77798

Prime Factorization of 77813

Now multiplying the highest exponent prime factors to calculate the LCM of 77798 and 77813.

LCM(77798,77813) = 2¹ × 7¹ × 5557¹ × 77813¹
LCM(77798,77813) = 6053695774