What is the Least Common Multiple of 8460 and 8470?

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 8460 and 8470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8460 and 8470, than apply into the LCM equation.

GCF(8460,8470) = 10
LCM(8460,8470) = ( 8460 × 8470) / 10
LCM(8460,8470) = 71656200 / 10
LCM(8460,8470) = 7165620

Least Common Multiple (LCM) of 8460 and 8470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8460 and 8470. First we will calculate the prime factors of 8460 and 8470.

Prime Factorization of 8460

Prime Factorization of 8470

Now multiplying the highest exponent prime factors to calculate the LCM of 8460 and 8470.

LCM(8460,8470) = 2² × 3² × 5¹ × 47¹ × 7¹ × 11²
LCM(8460,8470) = 7165620