What is the Least Common Multiple of 21742 and 21762?

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 21742 and 21762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21742 and 21762, than apply into the LCM equation.

GCF(21742,21762) = 2
LCM(21742,21762) = ( 21742 × 21762) / 2
LCM(21742,21762) = 473149404 / 2
LCM(21742,21762) = 236574702

Least Common Multiple (LCM) of 21742 and 21762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21742 and 21762. First we will calculate the prime factors of 21742 and 21762.

Prime Factorization of 21742

Prime Factorization of 21762

Now multiplying the highest exponent prime factors to calculate the LCM of 21742 and 21762.

LCM(21742,21762) = 2¹ × 7¹ × 1553¹ × 3³ × 13¹ × 31¹
LCM(21742,21762) = 236574702