What is the Least Common Multiple of 70335 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 70335 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 70335 and 70345, than apply into the LCM equation.

GCF(70335,70345) = 5
LCM(70335,70345) = ( 70335 × 70345) / 5
LCM(70335,70345) = 4947715575 / 5
LCM(70335,70345) = 989543115

Least Common Multiple (LCM) of 70335 and 70345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70335 and 70345. First we will calculate the prime factors of 70335 and 70345.

Prime Factorization of 70335

Prime Factorization of 70345

Now multiplying the highest exponent prime factors to calculate the LCM of 70335 and 70345.

LCM(70335,70345) = 3³ × 5¹ × 521¹ × 11¹ × 1279¹
LCM(70335,70345) = 989543115