What is the Least Common Multiple of 52494 and 52505?

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 52494 and 52505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52494 and 52505, than apply into the LCM equation.

GCF(52494,52505) = 1
LCM(52494,52505) = ( 52494 × 52505) / 1
LCM(52494,52505) = 2756197470 / 1
LCM(52494,52505) = 2756197470

Least Common Multiple (LCM) of 52494 and 52505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52494 and 52505. First we will calculate the prime factors of 52494 and 52505.

Prime Factorization of 52494

Prime Factorization of 52505

Now multiplying the highest exponent prime factors to calculate the LCM of 52494 and 52505.

LCM(52494,52505) = 2¹ × 3¹ × 13¹ × 673¹ × 5¹ × 10501¹
LCM(52494,52505) = 2756197470