What is the Least Common Multiple of 88892 and 88902?

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 88892 and 88902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88892 and 88902, than apply into the LCM equation.

GCF(88892,88902) = 2
LCM(88892,88902) = ( 88892 × 88902) / 2
LCM(88892,88902) = 7902676584 / 2
LCM(88892,88902) = 3951338292

Least Common Multiple (LCM) of 88892 and 88902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88892 and 88902. First we will calculate the prime factors of 88892 and 88902.

Prime Factorization of 88892

Prime Factorization of 88902

Now multiplying the highest exponent prime factors to calculate the LCM of 88892 and 88902.

LCM(88892,88902) = 2² × 71¹ × 313¹ × 3² × 11¹ × 449¹
LCM(88892,88902) = 3951338292