What is the Least Common Multiple of 8240 and 8250?

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 8250 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 8250, than apply into the LCM equation.

GCF(8240,8250) = 10
LCM(8240,8250) = ( 8240 × 8250) / 10
LCM(8240,8250) = 67980000 / 10
LCM(8240,8250) = 6798000

Least Common Multiple (LCM) of 8240 and 8250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8240 and 8250. First we will calculate the prime factors of 8240 and 8250.

Prime Factorization of 8240

Prime Factorization of 8250

Now multiplying the highest exponent prime factors to calculate the LCM of 8240 and 8250.

LCM(8240,8250) = 2⁴ × 5³ × 103¹ × 3¹ × 11¹
LCM(8240,8250) = 6798000