What is the Least Common Multiple of 70326 and 70338?

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 70326 and 70338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70326 and 70338, than apply into the LCM equation.

GCF(70326,70338) = 6
LCM(70326,70338) = ( 70326 × 70338) / 6
LCM(70326,70338) = 4946590188 / 6
LCM(70326,70338) = 824431698

Least Common Multiple (LCM) of 70326 and 70338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70326 and 70338. First we will calculate the prime factors of 70326 and 70338.

Prime Factorization of 70326

Prime Factorization of 70338

Now multiplying the highest exponent prime factors to calculate the LCM of 70326 and 70338.

LCM(70326,70338) = 2¹ × 3² × 3907¹ × 19¹ × 617¹
LCM(70326,70338) = 824431698