What is the Least Common Multiple of 10542 and 10562?

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 10542 and 10562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10542 and 10562, than apply into the LCM equation.

GCF(10542,10562) = 2
LCM(10542,10562) = ( 10542 × 10562) / 2
LCM(10542,10562) = 111344604 / 2
LCM(10542,10562) = 55672302

Least Common Multiple (LCM) of 10542 and 10562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10542 and 10562. First we will calculate the prime factors of 10542 and 10562.

Prime Factorization of 10542

Prime Factorization of 10562

Now multiplying the highest exponent prime factors to calculate the LCM of 10542 and 10562.

LCM(10542,10562) = 2¹ × 3¹ × 7¹ × 251¹ × 5281¹
LCM(10542,10562) = 55672302