What is the Least Common Multiple of 77508 and 77520?

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 77508 and 77520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77508 and 77520, than apply into the LCM equation.

GCF(77508,77520) = 12
LCM(77508,77520) = ( 77508 × 77520) / 12
LCM(77508,77520) = 6008420160 / 12
LCM(77508,77520) = 500701680

Least Common Multiple (LCM) of 77508 and 77520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77508 and 77520. First we will calculate the prime factors of 77508 and 77520.

Prime Factorization of 77508

Prime Factorization of 77520

Now multiplying the highest exponent prime factors to calculate the LCM of 77508 and 77520.

LCM(77508,77520) = 2⁴ × 3² × 2153¹ × 5¹ × 17¹ × 19¹
LCM(77508,77520) = 500701680