What is the Least Common Multiple of 62253 and 62268?

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 62268 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 62268, than apply into the LCM equation.

GCF(62253,62268) = 3
LCM(62253,62268) = ( 62253 × 62268) / 3
LCM(62253,62268) = 3876369804 / 3
LCM(62253,62268) = 1292123268

Least Common Multiple (LCM) of 62253 and 62268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62253 and 62268. First we will calculate the prime factors of 62253 and 62268.

Prime Factorization of 62253

Prime Factorization of 62268

Now multiplying the highest exponent prime factors to calculate the LCM of 62253 and 62268.

LCM(62253,62268) = 3² × 6917¹ × 2² × 5189¹
LCM(62253,62268) = 1292123268