What is the Least Common Multiple of 8240 and 8254?

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 8240 and 8254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8240 and 8254, than apply into the LCM equation.

GCF(8240,8254) = 2
LCM(8240,8254) = ( 8240 × 8254) / 2
LCM(8240,8254) = 68012960 / 2
LCM(8240,8254) = 34006480

Least Common Multiple (LCM) of 8240 and 8254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8240 and 8254. First we will calculate the prime factors of 8240 and 8254.

Prime Factorization of 8240

Prime Factorization of 8254

Now multiplying the highest exponent prime factors to calculate the LCM of 8240 and 8254.

LCM(8240,8254) = 2⁴ × 5¹ × 103¹ × 4127¹
LCM(8240,8254) = 34006480