What is the Least Common Multiple of 24744 and 24762?

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 24744 and 24762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24744 and 24762, than apply into the LCM equation.

GCF(24744,24762) = 6
LCM(24744,24762) = ( 24744 × 24762) / 6
LCM(24744,24762) = 612710928 / 6
LCM(24744,24762) = 102118488

Least Common Multiple (LCM) of 24744 and 24762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24744 and 24762. First we will calculate the prime factors of 24744 and 24762.

Prime Factorization of 24744

Prime Factorization of 24762

Now multiplying the highest exponent prime factors to calculate the LCM of 24744 and 24762.

LCM(24744,24762) = 2³ × 3¹ × 1031¹ × 4127¹
LCM(24744,24762) = 102118488