What is the Least Common Multiple of 76461 and 76481?

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 76461 and 76481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76461 and 76481, than apply into the LCM equation.

GCF(76461,76481) = 1
LCM(76461,76481) = ( 76461 × 76481) / 1
LCM(76461,76481) = 5847813741 / 1
LCM(76461,76481) = 5847813741

Least Common Multiple (LCM) of 76461 and 76481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76461 and 76481. First we will calculate the prime factors of 76461 and 76481.

Prime Factorization of 76461

Prime Factorization of 76481

Now multiplying the highest exponent prime factors to calculate the LCM of 76461 and 76481.

LCM(76461,76481) = 3¹ × 7¹ × 11¹ × 331¹ × 76481¹
LCM(76461,76481) = 5847813741