What is the Least Common Multiple of 77504 and 77522?

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 77522 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 77522, than apply into the LCM equation.

GCF(77504,77522) = 2
LCM(77504,77522) = ( 77504 × 77522) / 2
LCM(77504,77522) = 6008265088 / 2
LCM(77504,77522) = 3004132544

Least Common Multiple (LCM) of 77504 and 77522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77504 and 77522. First we will calculate the prime factors of 77504 and 77522.

Prime Factorization of 77504

Prime Factorization of 77522

Now multiplying the highest exponent prime factors to calculate the LCM of 77504 and 77522.

LCM(77504,77522) = 2⁶ × 7¹ × 173¹ × 83¹ × 467¹
LCM(77504,77522) = 3004132544