What is the Least Common Multiple of 53564 and 53582?

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 53564 and 53582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53564 and 53582, than apply into the LCM equation.

GCF(53564,53582) = 2
LCM(53564,53582) = ( 53564 × 53582) / 2
LCM(53564,53582) = 2870066248 / 2
LCM(53564,53582) = 1435033124

Least Common Multiple (LCM) of 53564 and 53582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53564 and 53582. First we will calculate the prime factors of 53564 and 53582.

Prime Factorization of 53564

Prime Factorization of 53582

Now multiplying the highest exponent prime factors to calculate the LCM of 53564 and 53582.

LCM(53564,53582) = 2² × 7¹ × 1913¹ × 73¹ × 367¹
LCM(53564,53582) = 1435033124