What is the Least Common Multiple of 70305 and 70319?

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 70305 and 70319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70305 and 70319, than apply into the LCM equation.

GCF(70305,70319) = 1
LCM(70305,70319) = ( 70305 × 70319) / 1
LCM(70305,70319) = 4943777295 / 1
LCM(70305,70319) = 4943777295

Least Common Multiple (LCM) of 70305 and 70319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70305 and 70319. First we will calculate the prime factors of 70305 and 70319.

Prime Factorization of 70305

Prime Factorization of 70319

Now multiplying the highest exponent prime factors to calculate the LCM of 70305 and 70319.

LCM(70305,70319) = 3¹ × 5¹ × 43¹ × 109¹ × 19¹ × 3701¹
LCM(70305,70319) = 4943777295