What is the Least Common Multiple of 66381 and 66387?

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 66381 and 66387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66381 and 66387, than apply into the LCM equation.

GCF(66381,66387) = 3
LCM(66381,66387) = ( 66381 × 66387) / 3
LCM(66381,66387) = 4406835447 / 3
LCM(66381,66387) = 1468945149

Least Common Multiple (LCM) of 66381 and 66387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66381 and 66387. First we will calculate the prime factors of 66381 and 66387.

Prime Factorization of 66381

Prime Factorization of 66387

Now multiplying the highest exponent prime factors to calculate the LCM of 66381 and 66387.

LCM(66381,66387) = 3¹ × 7¹ × 29¹ × 109¹ × 22129¹
LCM(66381,66387) = 1468945149