What is the Least Common Multiple of 68024 and 68042?

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 68024 and 68042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68024 and 68042, than apply into the LCM equation.

GCF(68024,68042) = 2
LCM(68024,68042) = ( 68024 × 68042) / 2
LCM(68024,68042) = 4628489008 / 2
LCM(68024,68042) = 2314244504

Least Common Multiple (LCM) of 68024 and 68042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68024 and 68042. First we will calculate the prime factors of 68024 and 68042.

Prime Factorization of 68024

Prime Factorization of 68042

Now multiplying the highest exponent prime factors to calculate the LCM of 68024 and 68042.

LCM(68024,68042) = 2³ × 11¹ × 773¹ × 13¹ × 2617¹
LCM(68024,68042) = 2314244504