What is the Least Common Multiple of 62271 and 62289?

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 62271 and 62289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62271 and 62289, than apply into the LCM equation.

GCF(62271,62289) = 9
LCM(62271,62289) = ( 62271 × 62289) / 9
LCM(62271,62289) = 3878798319 / 9
LCM(62271,62289) = 430977591

Least Common Multiple (LCM) of 62271 and 62289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62271 and 62289. First we will calculate the prime factors of 62271 and 62289.

Prime Factorization of 62271

Prime Factorization of 62289

Now multiplying the highest exponent prime factors to calculate the LCM of 62271 and 62289.

LCM(62271,62289) = 3⁴ × 11¹ × 17¹ × 37¹ × 769¹
LCM(62271,62289) = 430977591