What is the Least Common Multiple of 17749 and 17762?

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 17749 and 17762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17749 and 17762, than apply into the LCM equation.

GCF(17749,17762) = 1
LCM(17749,17762) = ( 17749 × 17762) / 1
LCM(17749,17762) = 315257738 / 1
LCM(17749,17762) = 315257738

Least Common Multiple (LCM) of 17749 and 17762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17749 and 17762. First we will calculate the prime factors of 17749 and 17762.

Prime Factorization of 17749

Prime Factorization of 17762

Now multiplying the highest exponent prime factors to calculate the LCM of 17749 and 17762.

LCM(17749,17762) = 17749¹ × 2¹ × 83¹ × 107¹
LCM(17749,17762) = 315257738