What is the Least Common Multiple of 8250 and 8270?

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 8250 and 8270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8250 and 8270, than apply into the LCM equation.

GCF(8250,8270) = 10
LCM(8250,8270) = ( 8250 × 8270) / 10
LCM(8250,8270) = 68227500 / 10
LCM(8250,8270) = 6822750

Least Common Multiple (LCM) of 8250 and 8270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8250 and 8270. First we will calculate the prime factors of 8250 and 8270.

Prime Factorization of 8250

Prime Factorization of 8270

Now multiplying the highest exponent prime factors to calculate the LCM of 8250 and 8270.

LCM(8250,8270) = 2¹ × 3¹ × 5³ × 11¹ × 827¹
LCM(8250,8270) = 6822750