What is the Least Common Multiple of 8730 and 8734?

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 8730 and 8734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8730 and 8734, than apply into the LCM equation.

GCF(8730,8734) = 2
LCM(8730,8734) = ( 8730 × 8734) / 2
LCM(8730,8734) = 76247820 / 2
LCM(8730,8734) = 38123910

Least Common Multiple (LCM) of 8730 and 8734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8730 and 8734. First we will calculate the prime factors of 8730 and 8734.

Prime Factorization of 8730

Prime Factorization of 8734

Now multiplying the highest exponent prime factors to calculate the LCM of 8730 and 8734.

LCM(8730,8734) = 2¹ × 3² × 5¹ × 97¹ × 11¹ × 397¹
LCM(8730,8734) = 38123910