What is the Least Common Multiple of 79449 and 79460?

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 79449 and 79460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79449 and 79460, than apply into the LCM equation.

GCF(79449,79460) = 1
LCM(79449,79460) = ( 79449 × 79460) / 1
LCM(79449,79460) = 6313017540 / 1
LCM(79449,79460) = 6313017540

Least Common Multiple (LCM) of 79449 and 79460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79449 and 79460. First we will calculate the prime factors of 79449 and 79460.

Prime Factorization of 79449

Prime Factorization of 79460

Now multiplying the highest exponent prime factors to calculate the LCM of 79449 and 79460.

LCM(79449,79460) = 3¹ × 71¹ × 373¹ × 2² × 5¹ × 29¹ × 137¹
LCM(79449,79460) = 6313017540