What is the Least Common Multiple of 77772 and 77789?

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 77772 and 77789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77772 and 77789, than apply into the LCM equation.

GCF(77772,77789) = 1
LCM(77772,77789) = ( 77772 × 77789) / 1
LCM(77772,77789) = 6049806108 / 1
LCM(77772,77789) = 6049806108

Least Common Multiple (LCM) of 77772 and 77789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77772 and 77789. First we will calculate the prime factors of 77772 and 77789.

Prime Factorization of 77772

Prime Factorization of 77789

Now multiplying the highest exponent prime factors to calculate the LCM of 77772 and 77789.

LCM(77772,77789) = 2² × 3¹ × 6481¹ × 107¹ × 727¹
LCM(77772,77789) = 6049806108