What is the Least Common Multiple of 8542 and 8560?

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 8542 and 8560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8542 and 8560, than apply into the LCM equation.

GCF(8542,8560) = 2
LCM(8542,8560) = ( 8542 × 8560) / 2
LCM(8542,8560) = 73119520 / 2
LCM(8542,8560) = 36559760

Least Common Multiple (LCM) of 8542 and 8560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8542 and 8560. First we will calculate the prime factors of 8542 and 8560.

Prime Factorization of 8542

Prime Factorization of 8560

Now multiplying the highest exponent prime factors to calculate the LCM of 8542 and 8560.

LCM(8542,8560) = 2⁴ × 4271¹ × 5¹ × 107¹
LCM(8542,8560) = 36559760