What is the Least Common Multiple of 48888 and 48902?

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 48888 and 48902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48888 and 48902, than apply into the LCM equation.

GCF(48888,48902) = 14
LCM(48888,48902) = ( 48888 × 48902) / 14
LCM(48888,48902) = 2390720976 / 14
LCM(48888,48902) = 170765784

Least Common Multiple (LCM) of 48888 and 48902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48888 and 48902. First we will calculate the prime factors of 48888 and 48902.

Prime Factorization of 48888

Prime Factorization of 48902

Now multiplying the highest exponent prime factors to calculate the LCM of 48888 and 48902.

LCM(48888,48902) = 2³ × 3² × 7² × 97¹ × 499¹
LCM(48888,48902) = 170765784