What is the Least Common Multiple of 89474 and 89481?

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 89474 and 89481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89474 and 89481, than apply into the LCM equation.

GCF(89474,89481) = 7
LCM(89474,89481) = ( 89474 × 89481) / 7
LCM(89474,89481) = 8006222994 / 7
LCM(89474,89481) = 1143746142

Least Common Multiple (LCM) of 89474 and 89481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89474 and 89481. First we will calculate the prime factors of 89474 and 89481.

Prime Factorization of 89474

Prime Factorization of 89481

Now multiplying the highest exponent prime factors to calculate the LCM of 89474 and 89481.

LCM(89474,89481) = 2¹ × 7² × 11¹ × 83¹ × 3¹ × 4261¹
LCM(89474,89481) = 1143746142