What is the Least Common Multiple of 7777 and 7789?

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 7777 and 7789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7777 and 7789, than apply into the LCM equation.

GCF(7777,7789) = 1
LCM(7777,7789) = ( 7777 × 7789) / 1
LCM(7777,7789) = 60575053 / 1
LCM(7777,7789) = 60575053

Least Common Multiple (LCM) of 7777 and 7789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7777 and 7789. First we will calculate the prime factors of 7777 and 7789.

Prime Factorization of 7777

Prime Factorization of 7789

Now multiplying the highest exponent prime factors to calculate the LCM of 7777 and 7789.

LCM(7777,7789) = 7¹ × 11¹ × 101¹ × 7789¹
LCM(7777,7789) = 60575053