What is the Least Common Multiple of 62268 and 62285?

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 62268 and 62285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62268 and 62285, than apply into the LCM equation.

GCF(62268,62285) = 1
LCM(62268,62285) = ( 62268 × 62285) / 1
LCM(62268,62285) = 3878362380 / 1
LCM(62268,62285) = 3878362380

Least Common Multiple (LCM) of 62268 and 62285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62268 and 62285. First we will calculate the prime factors of 62268 and 62285.

Prime Factorization of 62268

Prime Factorization of 62285

Now multiplying the highest exponent prime factors to calculate the LCM of 62268 and 62285.

LCM(62268,62285) = 2² × 3¹ × 5189¹ × 5¹ × 12457¹
LCM(62268,62285) = 3878362380