What is the Least Common Multiple of 70904 and 70922?

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 70904 and 70922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70904 and 70922, than apply into the LCM equation.

GCF(70904,70922) = 2
LCM(70904,70922) = ( 70904 × 70922) / 2
LCM(70904,70922) = 5028653488 / 2
LCM(70904,70922) = 2514326744

Least Common Multiple (LCM) of 70904 and 70922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70904 and 70922. First we will calculate the prime factors of 70904 and 70922.

Prime Factorization of 70904

Prime Factorization of 70922

Now multiplying the highest exponent prime factors to calculate the LCM of 70904 and 70922.

LCM(70904,70922) = 2³ × 8863¹ × 35461¹
LCM(70904,70922) = 2514326744