What is the Least Common Multiple of 62272 and 62291?

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 62272 and 62291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62272 and 62291, than apply into the LCM equation.

GCF(62272,62291) = 1
LCM(62272,62291) = ( 62272 × 62291) / 1
LCM(62272,62291) = 3878985152 / 1
LCM(62272,62291) = 3878985152

Least Common Multiple (LCM) of 62272 and 62291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62272 and 62291. First we will calculate the prime factors of 62272 and 62291.

Prime Factorization of 62272

Prime Factorization of 62291

Now multiplying the highest exponent prime factors to calculate the LCM of 62272 and 62291.

LCM(62272,62291) = 2⁶ × 7¹ × 139¹ × 167¹ × 373¹
LCM(62272,62291) = 3878985152