What is the Least Common Multiple of 70613 and 70621?

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 70613 and 70621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70613 and 70621, than apply into the LCM equation.

GCF(70613,70621) = 1
LCM(70613,70621) = ( 70613 × 70621) / 1
LCM(70613,70621) = 4986760673 / 1
LCM(70613,70621) = 4986760673

Least Common Multiple (LCM) of 70613 and 70621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70613 and 70621. First we will calculate the prime factors of 70613 and 70621.

Prime Factorization of 70613

Prime Factorization of 70621

Now multiplying the highest exponent prime factors to calculate the LCM of 70613 and 70621.

LCM(70613,70621) = 241¹ × 293¹ × 70621¹
LCM(70613,70621) = 4986760673