What is the Least Common Multiple of 76909 and 76927?

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 76909 and 76927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76909 and 76927, than apply into the LCM equation.

GCF(76909,76927) = 1
LCM(76909,76927) = ( 76909 × 76927) / 1
LCM(76909,76927) = 5916378643 / 1
LCM(76909,76927) = 5916378643

Least Common Multiple (LCM) of 76909 and 76927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76909 and 76927. First we will calculate the prime factors of 76909 and 76927.

Prime Factorization of 76909

Prime Factorization of 76927

Now multiplying the highest exponent prime factors to calculate the LCM of 76909 and 76927.

LCM(76909,76927) = 7¹ × 10987¹ × 43¹ × 1789¹
LCM(76909,76927) = 5916378643