What is the Least Common Multiple of 62253 and 62271?

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 62253 and 62271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62253 and 62271, than apply into the LCM equation.

GCF(62253,62271) = 9
LCM(62253,62271) = ( 62253 × 62271) / 9
LCM(62253,62271) = 3876556563 / 9
LCM(62253,62271) = 430728507

Least Common Multiple (LCM) of 62253 and 62271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62253 and 62271. First we will calculate the prime factors of 62253 and 62271.

Prime Factorization of 62253

Prime Factorization of 62271

Now multiplying the highest exponent prime factors to calculate the LCM of 62253 and 62271.

LCM(62253,62271) = 3² × 6917¹ × 11¹ × 17¹ × 37¹
LCM(62253,62271) = 430728507