What is the Least Common Multiple of 51465 and 51482?

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 51465 and 51482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51465 and 51482, than apply into the LCM equation.

GCF(51465,51482) = 1
LCM(51465,51482) = ( 51465 × 51482) / 1
LCM(51465,51482) = 2649521130 / 1
LCM(51465,51482) = 2649521130

Least Common Multiple (LCM) of 51465 and 51482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51465 and 51482. First we will calculate the prime factors of 51465 and 51482.

Prime Factorization of 51465

Prime Factorization of 51482

Now multiplying the highest exponent prime factors to calculate the LCM of 51465 and 51482.

LCM(51465,51482) = 3¹ × 5¹ × 47¹ × 73¹ × 2¹ × 25741¹
LCM(51465,51482) = 2649521130