What is the Least Common Multiple of 88910 and 88921?

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 88910 and 88921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88910 and 88921, than apply into the LCM equation.

GCF(88910,88921) = 1
LCM(88910,88921) = ( 88910 × 88921) / 1
LCM(88910,88921) = 7905966110 / 1
LCM(88910,88921) = 7905966110

Least Common Multiple (LCM) of 88910 and 88921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88910 and 88921. First we will calculate the prime factors of 88910 and 88921.

Prime Factorization of 88910

Prime Factorization of 88921

Now multiplying the highest exponent prime factors to calculate the LCM of 88910 and 88921.

LCM(88910,88921) = 2¹ × 5¹ × 17¹ × 523¹ × 7¹ × 12703¹
LCM(88910,88921) = 7905966110