What is the Least Common Multiple of 70338 and 70357?

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 70338 and 70357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70338 and 70357, than apply into the LCM equation.

GCF(70338,70357) = 19
LCM(70338,70357) = ( 70338 × 70357) / 19
LCM(70338,70357) = 4948770666 / 19
LCM(70338,70357) = 260461614

Least Common Multiple (LCM) of 70338 and 70357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70338 and 70357. First we will calculate the prime factors of 70338 and 70357.

Prime Factorization of 70338

Prime Factorization of 70357

Now multiplying the highest exponent prime factors to calculate the LCM of 70338 and 70357.

LCM(70338,70357) = 2¹ × 3¹ × 19¹ × 617¹ × 7¹ × 23²
LCM(70338,70357) = 260461614