What is the Least Common Multiple of 53534 and 53547?

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 53534 and 53547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53534 and 53547, than apply into the LCM equation.

GCF(53534,53547) = 13
LCM(53534,53547) = ( 53534 × 53547) / 13
LCM(53534,53547) = 2866585098 / 13
LCM(53534,53547) = 220506546

Least Common Multiple (LCM) of 53534 and 53547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53534 and 53547. First we will calculate the prime factors of 53534 and 53547.

Prime Factorization of 53534

Prime Factorization of 53547

Now multiplying the highest exponent prime factors to calculate the LCM of 53534 and 53547.

LCM(53534,53547) = 2¹ × 13¹ × 29¹ × 71¹ × 3¹ × 1373¹
LCM(53534,53547) = 220506546