What is the Least Common Multiple of 53498 and 53511?

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 53498 and 53511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53498 and 53511, than apply into the LCM equation.

GCF(53498,53511) = 1
LCM(53498,53511) = ( 53498 × 53511) / 1
LCM(53498,53511) = 2862731478 / 1
LCM(53498,53511) = 2862731478

Least Common Multiple (LCM) of 53498 and 53511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53498 and 53511. First we will calculate the prime factors of 53498 and 53511.

Prime Factorization of 53498

Prime Factorization of 53511

Now multiplying the highest exponent prime factors to calculate the LCM of 53498 and 53511.

LCM(53498,53511) = 2¹ × 23¹ × 1163¹ × 3¹ × 17837¹
LCM(53498,53511) = 2862731478