What is the Least Common Multiple of 8548 and 8562?

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 8548 and 8562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8548 and 8562, than apply into the LCM equation.

GCF(8548,8562) = 2
LCM(8548,8562) = ( 8548 × 8562) / 2
LCM(8548,8562) = 73187976 / 2
LCM(8548,8562) = 36593988

Least Common Multiple (LCM) of 8548 and 8562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8548 and 8562. First we will calculate the prime factors of 8548 and 8562.

Prime Factorization of 8548

Prime Factorization of 8562

Now multiplying the highest exponent prime factors to calculate the LCM of 8548 and 8562.

LCM(8548,8562) = 2² × 2137¹ × 3¹ × 1427¹
LCM(8548,8562) = 36593988