What is the Least Common Multiple of 84234 and 84240?

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 84234 and 84240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84234 and 84240, than apply into the LCM equation.

GCF(84234,84240) = 6
LCM(84234,84240) = ( 84234 × 84240) / 6
LCM(84234,84240) = 7095872160 / 6
LCM(84234,84240) = 1182645360

Least Common Multiple (LCM) of 84234 and 84240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84234 and 84240. First we will calculate the prime factors of 84234 and 84240.

Prime Factorization of 84234

Prime Factorization of 84240

Now multiplying the highest exponent prime factors to calculate the LCM of 84234 and 84240.

LCM(84234,84240) = 2⁴ × 3⁴ × 101¹ × 139¹ × 5¹ × 13¹
LCM(84234,84240) = 1182645360