What is the Least Common Multiple of 89445 and 89462?

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 89445 and 89462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89445 and 89462, than apply into the LCM equation.

GCF(89445,89462) = 1
LCM(89445,89462) = ( 89445 × 89462) / 1
LCM(89445,89462) = 8001928590 / 1
LCM(89445,89462) = 8001928590

Least Common Multiple (LCM) of 89445 and 89462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89445 and 89462. First we will calculate the prime factors of 89445 and 89462.

Prime Factorization of 89445

Prime Factorization of 89462

Now multiplying the highest exponent prime factors to calculate the LCM of 89445 and 89462.

LCM(89445,89462) = 3¹ × 5¹ × 67¹ × 89¹ × 2¹ × 41¹ × 1091¹
LCM(89445,89462) = 8001928590