What is the Least Common Multiple of 62268 and 62272?

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 62272 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 62272, than apply into the LCM equation.

GCF(62268,62272) = 4
LCM(62268,62272) = ( 62268 × 62272) / 4
LCM(62268,62272) = 3877552896 / 4
LCM(62268,62272) = 969388224

Least Common Multiple (LCM) of 62268 and 62272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62268 and 62272. First we will calculate the prime factors of 62268 and 62272.

Prime Factorization of 62268

Prime Factorization of 62272

Now multiplying the highest exponent prime factors to calculate the LCM of 62268 and 62272.

LCM(62268,62272) = 2⁶ × 3¹ × 5189¹ × 7¹ × 139¹
LCM(62268,62272) = 969388224