What is the Least Common Multiple of 10542 and 10551?

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 10551 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 10551, than apply into the LCM equation.

GCF(10542,10551) = 3
LCM(10542,10551) = ( 10542 × 10551) / 3
LCM(10542,10551) = 111228642 / 3
LCM(10542,10551) = 37076214

Least Common Multiple (LCM) of 10542 and 10551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10542 and 10551. First we will calculate the prime factors of 10542 and 10551.

Prime Factorization of 10542

Prime Factorization of 10551

Now multiplying the highest exponent prime factors to calculate the LCM of 10542 and 10551.

LCM(10542,10551) = 2¹ × 3¹ × 7¹ × 251¹ × 3517¹
LCM(10542,10551) = 37076214