What is the Least Common Multiple of 66123 and 66135?

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 66123 and 66135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66123 and 66135, than apply into the LCM equation.

GCF(66123,66135) = 3
LCM(66123,66135) = ( 66123 × 66135) / 3
LCM(66123,66135) = 4373044605 / 3
LCM(66123,66135) = 1457681535

Least Common Multiple (LCM) of 66123 and 66135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66123 and 66135. First we will calculate the prime factors of 66123 and 66135.

Prime Factorization of 66123

Prime Factorization of 66135

Now multiplying the highest exponent prime factors to calculate the LCM of 66123 and 66135.

LCM(66123,66135) = 3³ × 31¹ × 79¹ × 5¹ × 4409¹
LCM(66123,66135) = 1457681535