What is the Least Common Multiple of 89831 and 89848?

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 89831 and 89848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89831 and 89848, than apply into the LCM equation.

GCF(89831,89848) = 1
LCM(89831,89848) = ( 89831 × 89848) / 1
LCM(89831,89848) = 8071135688 / 1
LCM(89831,89848) = 8071135688

Least Common Multiple (LCM) of 89831 and 89848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89831 and 89848. First we will calculate the prime factors of 89831 and 89848.

Prime Factorization of 89831

Prime Factorization of 89848

Now multiplying the highest exponent prime factors to calculate the LCM of 89831 and 89848.

LCM(89831,89848) = 7¹ × 41¹ × 313¹ × 2³ × 11¹ × 1021¹
LCM(89831,89848) = 8071135688