What is the Least Common Multiple of 77584 and 77588?

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 77584 and 77588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77584 and 77588, than apply into the LCM equation.

GCF(77584,77588) = 4
LCM(77584,77588) = ( 77584 × 77588) / 4
LCM(77584,77588) = 6019587392 / 4
LCM(77584,77588) = 1504896848

Least Common Multiple (LCM) of 77584 and 77588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77584 and 77588. First we will calculate the prime factors of 77584 and 77588.

Prime Factorization of 77584

Prime Factorization of 77588

Now multiplying the highest exponent prime factors to calculate the LCM of 77584 and 77588.

LCM(77584,77588) = 2⁴ × 13¹ × 373¹ × 7¹ × 17¹ × 163¹
LCM(77584,77588) = 1504896848