What is the Least Common Multiple of 67566 and 67581?

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 67566 and 67581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67566 and 67581, than apply into the LCM equation.

GCF(67566,67581) = 3
LCM(67566,67581) = ( 67566 × 67581) / 3
LCM(67566,67581) = 4566177846 / 3
LCM(67566,67581) = 1522059282

Least Common Multiple (LCM) of 67566 and 67581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67566 and 67581. First we will calculate the prime factors of 67566 and 67581.

Prime Factorization of 67566

Prime Factorization of 67581

Now multiplying the highest exponent prime factors to calculate the LCM of 67566 and 67581.

LCM(67566,67581) = 2¹ × 3³ × 11261¹ × 2503¹
LCM(67566,67581) = 1522059282