What is the Least Common Multiple of 77584 and 77604?

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 77604 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 77604, than apply into the LCM equation.

GCF(77584,77604) = 4
LCM(77584,77604) = ( 77584 × 77604) / 4
LCM(77584,77604) = 6020828736 / 4
LCM(77584,77604) = 1505207184

Least Common Multiple (LCM) of 77584 and 77604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77584 and 77604. First we will calculate the prime factors of 77584 and 77604.

Prime Factorization of 77584

Prime Factorization of 77604

Now multiplying the highest exponent prime factors to calculate the LCM of 77584 and 77604.

LCM(77584,77604) = 2⁴ × 13¹ × 373¹ × 3¹ × 29¹ × 223¹
LCM(77584,77604) = 1505207184