What is the Least Common Multiple of 79508 and 79513?

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 79508 and 79513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79508 and 79513, than apply into the LCM equation.

GCF(79508,79513) = 1
LCM(79508,79513) = ( 79508 × 79513) / 1
LCM(79508,79513) = 6321919604 / 1
LCM(79508,79513) = 6321919604

Least Common Multiple (LCM) of 79508 and 79513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79508 and 79513. First we will calculate the prime factors of 79508 and 79513.

Prime Factorization of 79508

Prime Factorization of 79513

Now multiplying the highest exponent prime factors to calculate the LCM of 79508 and 79513.

LCM(79508,79513) = 2² × 11¹ × 13¹ × 139¹ × 7¹ × 37¹ × 307¹
LCM(79508,79513) = 6321919604