What is the Least Common Multiple of 76740 and 76745?

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 76740 and 76745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76740 and 76745, than apply into the LCM equation.

GCF(76740,76745) = 5
LCM(76740,76745) = ( 76740 × 76745) / 5
LCM(76740,76745) = 5889411300 / 5
LCM(76740,76745) = 1177882260

Least Common Multiple (LCM) of 76740 and 76745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76740 and 76745. First we will calculate the prime factors of 76740 and 76745.

Prime Factorization of 76740

Prime Factorization of 76745

Now multiplying the highest exponent prime factors to calculate the LCM of 76740 and 76745.

LCM(76740,76745) = 2² × 3¹ × 5¹ × 1279¹ × 15349¹
LCM(76740,76745) = 1177882260