What is the Least Common Multiple of 53504 and 53522?

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 53504 and 53522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53504 and 53522, than apply into the LCM equation.

GCF(53504,53522) = 2
LCM(53504,53522) = ( 53504 × 53522) / 2
LCM(53504,53522) = 2863641088 / 2
LCM(53504,53522) = 1431820544

Least Common Multiple (LCM) of 53504 and 53522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53504 and 53522. First we will calculate the prime factors of 53504 and 53522.

Prime Factorization of 53504

Prime Factorization of 53522

Now multiplying the highest exponent prime factors to calculate the LCM of 53504 and 53522.

LCM(53504,53522) = 2⁸ × 11¹ × 19¹ × 7¹ × 3823¹
LCM(53504,53522) = 1431820544