What is the Least Common Multiple of 77779 and 77795?

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 77779 and 77795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77779 and 77795, than apply into the LCM equation.

GCF(77779,77795) = 1
LCM(77779,77795) = ( 77779 × 77795) / 1
LCM(77779,77795) = 6050817305 / 1
LCM(77779,77795) = 6050817305

Least Common Multiple (LCM) of 77779 and 77795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77779 and 77795. First we will calculate the prime factors of 77779 and 77795.

Prime Factorization of 77779

Prime Factorization of 77795

Now multiplying the highest exponent prime factors to calculate the LCM of 77779 and 77795.

LCM(77779,77795) = 13¹ × 31¹ × 193¹ × 5¹ × 15559¹
LCM(77779,77795) = 6050817305