What is the Least Common Multiple of 84216 and 84236?

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 84216 and 84236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84216 and 84236, than apply into the LCM equation.

GCF(84216,84236) = 4
LCM(84216,84236) = ( 84216 × 84236) / 4
LCM(84216,84236) = 7094018976 / 4
LCM(84216,84236) = 1773504744

Least Common Multiple (LCM) of 84216 and 84236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84216 and 84236. First we will calculate the prime factors of 84216 and 84236.

Prime Factorization of 84216

Prime Factorization of 84236

Now multiplying the highest exponent prime factors to calculate the LCM of 84216 and 84236.

LCM(84216,84236) = 2³ × 3¹ × 11² × 29¹ × 21059¹
LCM(84216,84236) = 1773504744