What is the Least Common Multiple of 66325 and 66343?

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 66325 and 66343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66325 and 66343, than apply into the LCM equation.

GCF(66325,66343) = 1
LCM(66325,66343) = ( 66325 × 66343) / 1
LCM(66325,66343) = 4400199475 / 1
LCM(66325,66343) = 4400199475

Least Common Multiple (LCM) of 66325 and 66343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66325 and 66343. First we will calculate the prime factors of 66325 and 66343.

Prime Factorization of 66325

Prime Factorization of 66343

Now multiplying the highest exponent prime factors to calculate the LCM of 66325 and 66343.

LCM(66325,66343) = 5² × 7¹ × 379¹ × 66343¹
LCM(66325,66343) = 4400199475