What is the Least Common Multiple of 76543 and 76561?

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 76543 and 76561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76543 and 76561, than apply into the LCM equation.

GCF(76543,76561) = 1
LCM(76543,76561) = ( 76543 × 76561) / 1
LCM(76543,76561) = 5860208623 / 1
LCM(76543,76561) = 5860208623

Least Common Multiple (LCM) of 76543 and 76561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76543 and 76561. First we will calculate the prime factors of 76543 and 76561.

Prime Factorization of 76543

Prime Factorization of 76561

Now multiplying the highest exponent prime factors to calculate the LCM of 76543 and 76561.

LCM(76543,76561) = 76543¹ × 76561¹
LCM(76543,76561) = 5860208623