What is the Least Common Multiple of 88248 and 88262?

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 88248 and 88262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88248 and 88262, than apply into the LCM equation.

GCF(88248,88262) = 2
LCM(88248,88262) = ( 88248 × 88262) / 2
LCM(88248,88262) = 7788944976 / 2
LCM(88248,88262) = 3894472488

Least Common Multiple (LCM) of 88248 and 88262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88248 and 88262. First we will calculate the prime factors of 88248 and 88262.

Prime Factorization of 88248

Prime Factorization of 88262

Now multiplying the highest exponent prime factors to calculate the LCM of 88248 and 88262.

LCM(88248,88262) = 2³ × 3¹ × 3677¹ × 44131¹
LCM(88248,88262) = 3894472488