What is the Least Common Multiple of 77759 and 77779?

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 77759 and 77779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77759 and 77779, than apply into the LCM equation.

GCF(77759,77779) = 1
LCM(77759,77779) = ( 77759 × 77779) / 1
LCM(77759,77779) = 6048017261 / 1
LCM(77759,77779) = 6048017261

Least Common Multiple (LCM) of 77759 and 77779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77759 and 77779. First we will calculate the prime factors of 77759 and 77779.

Prime Factorization of 77759

Prime Factorization of 77779

Now multiplying the highest exponent prime factors to calculate the LCM of 77759 and 77779.

LCM(77759,77779) = 11¹ × 7069¹ × 13¹ × 31¹ × 193¹
LCM(77759,77779) = 6048017261