What is the Least Common Multiple of 17746 and 17765?

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 17746 and 17765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17746 and 17765, than apply into the LCM equation.

GCF(17746,17765) = 19
LCM(17746,17765) = ( 17746 × 17765) / 19
LCM(17746,17765) = 315257690 / 19
LCM(17746,17765) = 16592510

Least Common Multiple (LCM) of 17746 and 17765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17746 and 17765. First we will calculate the prime factors of 17746 and 17765.

Prime Factorization of 17746

Prime Factorization of 17765

Now multiplying the highest exponent prime factors to calculate the LCM of 17746 and 17765.

LCM(17746,17765) = 2¹ × 19¹ × 467¹ × 5¹ × 11¹ × 17¹
LCM(17746,17765) = 16592510