What is the Least Common Multiple of 72325 and 72343?

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 72325 and 72343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72325 and 72343, than apply into the LCM equation.

GCF(72325,72343) = 1
LCM(72325,72343) = ( 72325 × 72343) / 1
LCM(72325,72343) = 5232207475 / 1
LCM(72325,72343) = 5232207475

Least Common Multiple (LCM) of 72325 and 72343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72325 and 72343. First we will calculate the prime factors of 72325 and 72343.

Prime Factorization of 72325

Prime Factorization of 72343

Now multiplying the highest exponent prime factors to calculate the LCM of 72325 and 72343.

LCM(72325,72343) = 5² × 11¹ × 263¹ × 73¹ × 991¹
LCM(72325,72343) = 5232207475