What is the Least Common Multiple of 17754 and 17769?

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 17754 and 17769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17754 and 17769, than apply into the LCM equation.

GCF(17754,17769) = 3
LCM(17754,17769) = ( 17754 × 17769) / 3
LCM(17754,17769) = 315470826 / 3
LCM(17754,17769) = 105156942

Least Common Multiple (LCM) of 17754 and 17769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17754 and 17769. First we will calculate the prime factors of 17754 and 17769.

Prime Factorization of 17754

Prime Factorization of 17769

Now multiplying the highest exponent prime factors to calculate the LCM of 17754 and 17769.

LCM(17754,17769) = 2¹ × 3¹ × 11¹ × 269¹ × 5923¹
LCM(17754,17769) = 105156942