What is the Least Common Multiple of 70338 and 70345?

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 70345 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 70345, than apply into the LCM equation.

GCF(70338,70345) = 1
LCM(70338,70345) = ( 70338 × 70345) / 1
LCM(70338,70345) = 4947926610 / 1
LCM(70338,70345) = 4947926610

Least Common Multiple (LCM) of 70338 and 70345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70338 and 70345. First we will calculate the prime factors of 70338 and 70345.

Prime Factorization of 70338

Prime Factorization of 70345

Now multiplying the highest exponent prime factors to calculate the LCM of 70338 and 70345.

LCM(70338,70345) = 2¹ × 3¹ × 19¹ × 617¹ × 5¹ × 11¹ × 1279¹
LCM(70338,70345) = 4947926610