What is the Least Common Multiple of 70609 and 70613?

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 70609 and 70613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70609 and 70613, than apply into the LCM equation.

GCF(70609,70613) = 1
LCM(70609,70613) = ( 70609 × 70613) / 1
LCM(70609,70613) = 4985913317 / 1
LCM(70609,70613) = 4985913317

Least Common Multiple (LCM) of 70609 and 70613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70609 and 70613. First we will calculate the prime factors of 70609 and 70613.

Prime Factorization of 70609

Prime Factorization of 70613

Now multiplying the highest exponent prime factors to calculate the LCM of 70609 and 70613.

LCM(70609,70613) = 7² × 11¹ × 131¹ × 241¹ × 293¹
LCM(70609,70613) = 4985913317