What is the Least Common Multiple of 67024 and 67038?

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 67024 and 67038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67024 and 67038, than apply into the LCM equation.

GCF(67024,67038) = 2
LCM(67024,67038) = ( 67024 × 67038) / 2
LCM(67024,67038) = 4493154912 / 2
LCM(67024,67038) = 2246577456

Least Common Multiple (LCM) of 67024 and 67038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67024 and 67038. First we will calculate the prime factors of 67024 and 67038.

Prime Factorization of 67024

Prime Factorization of 67038

Now multiplying the highest exponent prime factors to calculate the LCM of 67024 and 67038.

LCM(67024,67038) = 2⁴ × 59¹ × 71¹ × 3¹ × 11173¹
LCM(67024,67038) = 2246577456