What is the Least Common Multiple of 70320 and 70326?

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 70320 and 70326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70320 and 70326, than apply into the LCM equation.

GCF(70320,70326) = 6
LCM(70320,70326) = ( 70320 × 70326) / 6
LCM(70320,70326) = 4945324320 / 6
LCM(70320,70326) = 824220720

Least Common Multiple (LCM) of 70320 and 70326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70320 and 70326. First we will calculate the prime factors of 70320 and 70326.

Prime Factorization of 70320

Prime Factorization of 70326

Now multiplying the highest exponent prime factors to calculate the LCM of 70320 and 70326.

LCM(70320,70326) = 2⁴ × 3² × 5¹ × 293¹ × 3907¹
LCM(70320,70326) = 824220720