What is the Least Common Multiple of 84860 and 84878?

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 84860 and 84878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84860 and 84878, than apply into the LCM equation.

GCF(84860,84878) = 2
LCM(84860,84878) = ( 84860 × 84878) / 2
LCM(84860,84878) = 7202747080 / 2
LCM(84860,84878) = 3601373540

Least Common Multiple (LCM) of 84860 and 84878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84860 and 84878. First we will calculate the prime factors of 84860 and 84878.

Prime Factorization of 84860

Prime Factorization of 84878

Now multiplying the highest exponent prime factors to calculate the LCM of 84860 and 84878.

LCM(84860,84878) = 2² × 5¹ × 4243¹ × 31¹ × 37²
LCM(84860,84878) = 3601373540