What is the Least Common Multiple of 84032 and 84038?

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 84032 and 84038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84032 and 84038, than apply into the LCM equation.

GCF(84032,84038) = 2
LCM(84032,84038) = ( 84032 × 84038) / 2
LCM(84032,84038) = 7061881216 / 2
LCM(84032,84038) = 3530940608

Least Common Multiple (LCM) of 84032 and 84038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84032 and 84038. First we will calculate the prime factors of 84032 and 84038.

Prime Factorization of 84032

Prime Factorization of 84038

Now multiplying the highest exponent prime factors to calculate the LCM of 84032 and 84038.

LCM(84032,84038) = 2⁶ × 13¹ × 101¹ × 42019¹
LCM(84032,84038) = 3530940608