What is the Least Common Multiple of 66945 and 66963?

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 66945 and 66963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66945 and 66963, than apply into the LCM equation.

GCF(66945,66963) = 3
LCM(66945,66963) = ( 66945 × 66963) / 3
LCM(66945,66963) = 4482838035 / 3
LCM(66945,66963) = 1494279345

Least Common Multiple (LCM) of 66945 and 66963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66945 and 66963. First we will calculate the prime factors of 66945 and 66963.

Prime Factorization of 66945

Prime Factorization of 66963

Now multiplying the highest exponent prime factors to calculate the LCM of 66945 and 66963.

LCM(66945,66963) = 3¹ × 5¹ × 4463¹ × 13¹ × 17¹ × 101¹
LCM(66945,66963) = 1494279345