What is the Least Common Multiple of 53548 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 53548 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 53548 and 53567, than apply into the LCM equation.

GCF(53548,53567) = 1
LCM(53548,53567) = ( 53548 × 53567) / 1
LCM(53548,53567) = 2868405716 / 1
LCM(53548,53567) = 2868405716

Least Common Multiple (LCM) of 53548 and 53567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53548 and 53567. First we will calculate the prime factors of 53548 and 53567.

Prime Factorization of 53548

Prime Factorization of 53567

Now multiplying the highest exponent prime factors to calculate the LCM of 53548 and 53567.

LCM(53548,53567) = 2² × 11¹ × 1217¹ × 17¹ × 23¹ × 137¹
LCM(53548,53567) = 2868405716