What is the Least Common Multiple of 88292 and 88298?

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 88292 and 88298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88292 and 88298, than apply into the LCM equation.

GCF(88292,88298) = 2
LCM(88292,88298) = ( 88292 × 88298) / 2
LCM(88292,88298) = 7796007016 / 2
LCM(88292,88298) = 3898003508

Least Common Multiple (LCM) of 88292 and 88298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88292 and 88298. First we will calculate the prime factors of 88292 and 88298.

Prime Factorization of 88292

Prime Factorization of 88298

Now multiplying the highest exponent prime factors to calculate the LCM of 88292 and 88298.

LCM(88292,88298) = 2² × 22073¹ × 7² × 17¹ × 53¹
LCM(88292,88298) = 3898003508