What is the Least Common Multiple of 84948 and 84967?

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 84948 and 84967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84948 and 84967, than apply into the LCM equation.

GCF(84948,84967) = 1
LCM(84948,84967) = ( 84948 × 84967) / 1
LCM(84948,84967) = 7217776716 / 1
LCM(84948,84967) = 7217776716

Least Common Multiple (LCM) of 84948 and 84967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84948 and 84967. First we will calculate the prime factors of 84948 and 84967.

Prime Factorization of 84948

Prime Factorization of 84967

Now multiplying the highest exponent prime factors to calculate the LCM of 84948 and 84967.

LCM(84948,84967) = 2² × 3¹ × 7079¹ × 84967¹
LCM(84948,84967) = 7217776716