What is the Least Common Multiple of 52445 and 52465?

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 52445 and 52465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52445 and 52465, than apply into the LCM equation.

GCF(52445,52465) = 5
LCM(52445,52465) = ( 52445 × 52465) / 5
LCM(52445,52465) = 2751526925 / 5
LCM(52445,52465) = 550305385

Least Common Multiple (LCM) of 52445 and 52465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52445 and 52465. First we will calculate the prime factors of 52445 and 52465.

Prime Factorization of 52445

Prime Factorization of 52465

Now multiplying the highest exponent prime factors to calculate the LCM of 52445 and 52465.

LCM(52445,52465) = 5¹ × 17¹ × 617¹ × 7¹ × 1499¹
LCM(52445,52465) = 550305385