What is the Least Common Multiple of 77504 and 77508?

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 77504 and 77508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77504 and 77508, than apply into the LCM equation.

GCF(77504,77508) = 4
LCM(77504,77508) = ( 77504 × 77508) / 4
LCM(77504,77508) = 6007180032 / 4
LCM(77504,77508) = 1501795008

Least Common Multiple (LCM) of 77504 and 77508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77504 and 77508. First we will calculate the prime factors of 77504 and 77508.

Prime Factorization of 77504

Prime Factorization of 77508

Now multiplying the highest exponent prime factors to calculate the LCM of 77504 and 77508.

LCM(77504,77508) = 2⁶ × 7¹ × 173¹ × 3² × 2153¹
LCM(77504,77508) = 1501795008