What is the Least Common Multiple of 53549 and 53567?

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 53549 and 53567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53549 and 53567, than apply into the LCM equation.

GCF(53549,53567) = 1
LCM(53549,53567) = ( 53549 × 53567) / 1
LCM(53549,53567) = 2868459283 / 1
LCM(53549,53567) = 2868459283

Least Common Multiple (LCM) of 53549 and 53567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53549 and 53567. First we will calculate the prime factors of 53549 and 53567.

Prime Factorization of 53549

Prime Factorization of 53567

Now multiplying the highest exponent prime factors to calculate the LCM of 53549 and 53567.

LCM(53549,53567) = 53549¹ × 17¹ × 23¹ × 137¹
LCM(53549,53567) = 2868459283