What is the Least Common Multiple of 70228 and 70241?

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 70228 and 70241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70228 and 70241, than apply into the LCM equation.

GCF(70228,70241) = 1
LCM(70228,70241) = ( 70228 × 70241) / 1
LCM(70228,70241) = 4932884948 / 1
LCM(70228,70241) = 4932884948

Least Common Multiple (LCM) of 70228 and 70241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70228 and 70241. First we will calculate the prime factors of 70228 and 70241.

Prime Factorization of 70228

Prime Factorization of 70241

Now multiplying the highest exponent prime factors to calculate the LCM of 70228 and 70241.

LCM(70228,70241) = 2² × 97¹ × 181¹ × 70241¹
LCM(70228,70241) = 4932884948