What is the Least Common Multiple of 70321 and 70340?

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 70321 and 70340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70321 and 70340, than apply into the LCM equation.

GCF(70321,70340) = 1
LCM(70321,70340) = ( 70321 × 70340) / 1
LCM(70321,70340) = 4946379140 / 1
LCM(70321,70340) = 4946379140

Least Common Multiple (LCM) of 70321 and 70340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70321 and 70340. First we will calculate the prime factors of 70321 and 70340.

Prime Factorization of 70321

Prime Factorization of 70340

Now multiplying the highest exponent prime factors to calculate the LCM of 70321 and 70340.

LCM(70321,70340) = 70321¹ × 2² × 5¹ × 3517¹
LCM(70321,70340) = 4946379140