What is the Least Common Multiple of 88235 and 88248?

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 88235 and 88248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88235 and 88248, than apply into the LCM equation.

GCF(88235,88248) = 1
LCM(88235,88248) = ( 88235 × 88248) / 1
LCM(88235,88248) = 7786562280 / 1
LCM(88235,88248) = 7786562280

Least Common Multiple (LCM) of 88235 and 88248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88235 and 88248. First we will calculate the prime factors of 88235 and 88248.

Prime Factorization of 88235

Prime Factorization of 88248

Now multiplying the highest exponent prime factors to calculate the LCM of 88235 and 88248.

LCM(88235,88248) = 5¹ × 7¹ × 2521¹ × 2³ × 3¹ × 3677¹
LCM(88235,88248) = 7786562280