What is the Least Common Multiple of 7707 and 7719?

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 7707 and 7719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7707 and 7719, than apply into the LCM equation.

GCF(7707,7719) = 3
LCM(7707,7719) = ( 7707 × 7719) / 3
LCM(7707,7719) = 59490333 / 3
LCM(7707,7719) = 19830111

Least Common Multiple (LCM) of 7707 and 7719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7707 and 7719. First we will calculate the prime factors of 7707 and 7719.

Prime Factorization of 7707

Prime Factorization of 7719

Now multiplying the highest exponent prime factors to calculate the LCM of 7707 and 7719.

LCM(7707,7719) = 3¹ × 7¹ × 367¹ × 31¹ × 83¹
LCM(7707,7719) = 19830111