What is the Least Common Multiple of 79509 and 79514?

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 79509 and 79514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79509 and 79514, than apply into the LCM equation.

GCF(79509,79514) = 1
LCM(79509,79514) = ( 79509 × 79514) / 1
LCM(79509,79514) = 6322078626 / 1
LCM(79509,79514) = 6322078626

Least Common Multiple (LCM) of 79509 and 79514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79509 and 79514. First we will calculate the prime factors of 79509 and 79514.

Prime Factorization of 79509

Prime Factorization of 79514

Now multiplying the highest exponent prime factors to calculate the LCM of 79509 and 79514.

LCM(79509,79514) = 3¹ × 17¹ × 1559¹ × 2¹ × 83¹ × 479¹
LCM(79509,79514) = 6322078626