What is the Least Common Multiple of 88280 and 88294?

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 88280 and 88294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88280 and 88294, than apply into the LCM equation.

GCF(88280,88294) = 2
LCM(88280,88294) = ( 88280 × 88294) / 2
LCM(88280,88294) = 7794594320 / 2
LCM(88280,88294) = 3897297160

Least Common Multiple (LCM) of 88280 and 88294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88280 and 88294. First we will calculate the prime factors of 88280 and 88294.

Prime Factorization of 88280

Prime Factorization of 88294

Now multiplying the highest exponent prime factors to calculate the LCM of 88280 and 88294.

LCM(88280,88294) = 2³ × 5¹ × 2207¹ × 131¹ × 337¹
LCM(88280,88294) = 3897297160