What is the Least Common Multiple of 8024 and 8042?

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 8024 and 8042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8024 and 8042, than apply into the LCM equation.

GCF(8024,8042) = 2
LCM(8024,8042) = ( 8024 × 8042) / 2
LCM(8024,8042) = 64529008 / 2
LCM(8024,8042) = 32264504

Least Common Multiple (LCM) of 8024 and 8042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8024 and 8042. First we will calculate the prime factors of 8024 and 8042.

Prime Factorization of 8024

Prime Factorization of 8042

Now multiplying the highest exponent prime factors to calculate the LCM of 8024 and 8042.

LCM(8024,8042) = 2³ × 17¹ × 59¹ × 4021¹
LCM(8024,8042) = 32264504