What is the Least Common Multiple of 53445 and 53465?

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 53445 and 53465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53445 and 53465, than apply into the LCM equation.

GCF(53445,53465) = 5
LCM(53445,53465) = ( 53445 × 53465) / 5
LCM(53445,53465) = 2857436925 / 5
LCM(53445,53465) = 571487385

Least Common Multiple (LCM) of 53445 and 53465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53445 and 53465. First we will calculate the prime factors of 53445 and 53465.

Prime Factorization of 53445

Prime Factorization of 53465

Now multiplying the highest exponent prime factors to calculate the LCM of 53445 and 53465.

LCM(53445,53465) = 3¹ × 5¹ × 7¹ × 509¹ × 17² × 37¹
LCM(53445,53465) = 571487385