What is the Least Common Multiple of 79586 and 79603?

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 79586 and 79603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79586 and 79603, than apply into the LCM equation.

GCF(79586,79603) = 1
LCM(79586,79603) = ( 79586 × 79603) / 1
LCM(79586,79603) = 6335284358 / 1
LCM(79586,79603) = 6335284358

Least Common Multiple (LCM) of 79586 and 79603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79586 and 79603. First we will calculate the prime factors of 79586 and 79603.

Prime Factorization of 79586

Prime Factorization of 79603

Now multiplying the highest exponent prime factors to calculate the LCM of 79586 and 79603.

LCM(79586,79603) = 2¹ × 13¹ × 3061¹ × 23¹ × 3461¹
LCM(79586,79603) = 6335284358