What is the Least Common Multiple of 76905 and 76909?

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 76905 and 76909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76905 and 76909, than apply into the LCM equation.

GCF(76905,76909) = 1
LCM(76905,76909) = ( 76905 × 76909) / 1
LCM(76905,76909) = 5914686645 / 1
LCM(76905,76909) = 5914686645

Least Common Multiple (LCM) of 76905 and 76909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76905 and 76909. First we will calculate the prime factors of 76905 and 76909.

Prime Factorization of 76905

Prime Factorization of 76909

Now multiplying the highest exponent prime factors to calculate the LCM of 76905 and 76909.

LCM(76905,76909) = 3² × 5¹ × 1709¹ × 7¹ × 10987¹
LCM(76905,76909) = 5914686645