What is the Least Common Multiple of 70909 and 70921?

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 70909 and 70921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70909 and 70921, than apply into the LCM equation.

GCF(70909,70921) = 1
LCM(70909,70921) = ( 70909 × 70921) / 1
LCM(70909,70921) = 5028937189 / 1
LCM(70909,70921) = 5028937189

Least Common Multiple (LCM) of 70909 and 70921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70909 and 70921. First we will calculate the prime factors of 70909 and 70921.

Prime Factorization of 70909

Prime Factorization of 70921

Now multiplying the highest exponent prime factors to calculate the LCM of 70909 and 70921.

LCM(70909,70921) = 23¹ × 3083¹ × 70921¹
LCM(70909,70921) = 5028937189