What is the Least Common Multiple of 88220 and 88238?

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 88220 and 88238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88220 and 88238, than apply into the LCM equation.

GCF(88220,88238) = 2
LCM(88220,88238) = ( 88220 × 88238) / 2
LCM(88220,88238) = 7784356360 / 2
LCM(88220,88238) = 3892178180

Least Common Multiple (LCM) of 88220 and 88238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88220 and 88238. First we will calculate the prime factors of 88220 and 88238.

Prime Factorization of 88220

Prime Factorization of 88238

Now multiplying the highest exponent prime factors to calculate the LCM of 88220 and 88238.

LCM(88220,88238) = 2² × 5¹ × 11¹ × 401¹ × 44119¹
LCM(88220,88238) = 3892178180