What is the Least Common Multiple of 84038 and 84052?

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 84038 and 84052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84038 and 84052, than apply into the LCM equation.

GCF(84038,84052) = 2
LCM(84038,84052) = ( 84038 × 84052) / 2
LCM(84038,84052) = 7063561976 / 2
LCM(84038,84052) = 3531780988

Least Common Multiple (LCM) of 84038 and 84052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84038 and 84052. First we will calculate the prime factors of 84038 and 84052.

Prime Factorization of 84038

Prime Factorization of 84052

Now multiplying the highest exponent prime factors to calculate the LCM of 84038 and 84052.

LCM(84038,84052) = 2² × 42019¹ × 21013¹
LCM(84038,84052) = 3531780988