What is the Least Common Multiple of 8440 and 8453?

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 8440 and 8453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8440 and 8453, than apply into the LCM equation.

GCF(8440,8453) = 1
LCM(8440,8453) = ( 8440 × 8453) / 1
LCM(8440,8453) = 71343320 / 1
LCM(8440,8453) = 71343320

Least Common Multiple (LCM) of 8440 and 8453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8440 and 8453. First we will calculate the prime factors of 8440 and 8453.

Prime Factorization of 8440

Prime Factorization of 8453

Now multiplying the highest exponent prime factors to calculate the LCM of 8440 and 8453.

LCM(8440,8453) = 2³ × 5¹ × 211¹ × 79¹ × 107¹
LCM(8440,8453) = 71343320