What is the Least Common Multiple of 77805 and 77824?

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 77805 and 77824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77805 and 77824, than apply into the LCM equation.

GCF(77805,77824) = 19
LCM(77805,77824) = ( 77805 × 77824) / 19
LCM(77805,77824) = 6055096320 / 19
LCM(77805,77824) = 318689280

Least Common Multiple (LCM) of 77805 and 77824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77805 and 77824. First we will calculate the prime factors of 77805 and 77824.

Prime Factorization of 77805

Prime Factorization of 77824

Now multiplying the highest exponent prime factors to calculate the LCM of 77805 and 77824.

LCM(77805,77824) = 3² × 5¹ × 7¹ × 13¹ × 19¹ × 2¹²
LCM(77805,77824) = 318689280