What is the Least Common Multiple of 62289 and 62307?

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 62289 and 62307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62289 and 62307, than apply into the LCM equation.

GCF(62289,62307) = 9
LCM(62289,62307) = ( 62289 × 62307) / 9
LCM(62289,62307) = 3881040723 / 9
LCM(62289,62307) = 431226747

Least Common Multiple (LCM) of 62289 and 62307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62289 and 62307. First we will calculate the prime factors of 62289 and 62307.

Prime Factorization of 62289

Prime Factorization of 62307

Now multiplying the highest exponent prime factors to calculate the LCM of 62289 and 62307.

LCM(62289,62307) = 3⁴ × 769¹ × 7¹ × 23¹ × 43¹
LCM(62289,62307) = 431226747