What is the Least Common Multiple of 84504 and 84509?

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 84504 and 84509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84504 and 84509, than apply into the LCM equation.

GCF(84504,84509) = 1
LCM(84504,84509) = ( 84504 × 84509) / 1
LCM(84504,84509) = 7141348536 / 1
LCM(84504,84509) = 7141348536

Least Common Multiple (LCM) of 84504 and 84509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84504 and 84509. First we will calculate the prime factors of 84504 and 84509.

Prime Factorization of 84504

Prime Factorization of 84509

Now multiplying the highest exponent prime factors to calculate the LCM of 84504 and 84509.

LCM(84504,84509) = 2³ × 3¹ × 7¹ × 503¹ × 84509¹
LCM(84504,84509) = 7141348536