What is the Least Common Multiple of 70869 and 70883?

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 70869 and 70883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70869 and 70883, than apply into the LCM equation.

GCF(70869,70883) = 1
LCM(70869,70883) = ( 70869 × 70883) / 1
LCM(70869,70883) = 5023407327 / 1
LCM(70869,70883) = 5023407327

Least Common Multiple (LCM) of 70869 and 70883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70869 and 70883. First we will calculate the prime factors of 70869 and 70883.

Prime Factorization of 70869

Prime Factorization of 70883

Now multiplying the highest exponent prime factors to calculate the LCM of 70869 and 70883.

LCM(70869,70883) = 3¹ × 23623¹ × 73¹ × 971¹
LCM(70869,70883) = 5023407327