What is the Least Common Multiple of 67024 and 67042?

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 67042 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 67042, than apply into the LCM equation.

GCF(67024,67042) = 2
LCM(67024,67042) = ( 67024 × 67042) / 2
LCM(67024,67042) = 4493423008 / 2
LCM(67024,67042) = 2246711504

Least Common Multiple (LCM) of 67024 and 67042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67024 and 67042. First we will calculate the prime factors of 67024 and 67042.

Prime Factorization of 67024

Prime Factorization of 67042

Now multiplying the highest exponent prime factors to calculate the LCM of 67024 and 67042.

LCM(67024,67042) = 2⁴ × 59¹ × 71¹ × 33521¹
LCM(67024,67042) = 2246711504