What is the Least Common Multiple of 62244 and 62253?

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 62244 and 62253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62244 and 62253, than apply into the LCM equation.

GCF(62244,62253) = 9
LCM(62244,62253) = ( 62244 × 62253) / 9
LCM(62244,62253) = 3874875732 / 9
LCM(62244,62253) = 430541748

Least Common Multiple (LCM) of 62244 and 62253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62244 and 62253. First we will calculate the prime factors of 62244 and 62253.

Prime Factorization of 62244

Prime Factorization of 62253

Now multiplying the highest exponent prime factors to calculate the LCM of 62244 and 62253.

LCM(62244,62253) = 2² × 3² × 7¹ × 13¹ × 19¹ × 6917¹
LCM(62244,62253) = 430541748