What is the Least Common Multiple of 79580 and 79588?

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 79580 and 79588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79580 and 79588, than apply into the LCM equation.

GCF(79580,79588) = 4
LCM(79580,79588) = ( 79580 × 79588) / 4
LCM(79580,79588) = 6333613040 / 4
LCM(79580,79588) = 1583403260

Least Common Multiple (LCM) of 79580 and 79588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79580 and 79588. First we will calculate the prime factors of 79580 and 79588.

Prime Factorization of 79580

Prime Factorization of 79588

Now multiplying the highest exponent prime factors to calculate the LCM of 79580 and 79588.

LCM(79580,79588) = 2² × 5¹ × 23¹ × 173¹ × 101¹ × 197¹
LCM(79580,79588) = 1583403260