What is the Least Common Multiple of 84152 and 84167?

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 84152 and 84167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84152 and 84167, than apply into the LCM equation.

GCF(84152,84167) = 1
LCM(84152,84167) = ( 84152 × 84167) / 1
LCM(84152,84167) = 7082821384 / 1
LCM(84152,84167) = 7082821384

Least Common Multiple (LCM) of 84152 and 84167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84152 and 84167. First we will calculate the prime factors of 84152 and 84167.

Prime Factorization of 84152

Prime Factorization of 84167

Now multiplying the highest exponent prime factors to calculate the LCM of 84152 and 84167.

LCM(84152,84167) = 2³ × 67¹ × 157¹ × 17¹ × 4951¹
LCM(84152,84167) = 7082821384