What is the Least Common Multiple of 84330 and 84336?

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 84330 and 84336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84330 and 84336, than apply into the LCM equation.

GCF(84330,84336) = 6
LCM(84330,84336) = ( 84330 × 84336) / 6
LCM(84330,84336) = 7112054880 / 6
LCM(84330,84336) = 1185342480

Least Common Multiple (LCM) of 84330 and 84336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84330 and 84336. First we will calculate the prime factors of 84330 and 84336.

Prime Factorization of 84330

Prime Factorization of 84336

Now multiplying the highest exponent prime factors to calculate the LCM of 84330 and 84336.

LCM(84330,84336) = 2⁴ × 3² × 5¹ × 937¹ × 7¹ × 251¹
LCM(84330,84336) = 1185342480