What is the Least Common Multiple of 84525 and 84535?

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 84525 and 84535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84525 and 84535, than apply into the LCM equation.

GCF(84525,84535) = 5
LCM(84525,84535) = ( 84525 × 84535) / 5
LCM(84525,84535) = 7145320875 / 5
LCM(84525,84535) = 1429064175

Least Common Multiple (LCM) of 84525 and 84535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84525 and 84535. First we will calculate the prime factors of 84525 and 84535.

Prime Factorization of 84525

Prime Factorization of 84535

Now multiplying the highest exponent prime factors to calculate the LCM of 84525 and 84535.

LCM(84525,84535) = 3¹ × 5² × 7² × 23¹ × 11¹ × 29¹ × 53¹
LCM(84525,84535) = 1429064175