What is the Least Common Multiple of 3765 and 3773?

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 3765 and 3773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3765 and 3773, than apply into the LCM equation.

GCF(3765,3773) = 1
LCM(3765,3773) = ( 3765 × 3773) / 1
LCM(3765,3773) = 14205345 / 1
LCM(3765,3773) = 14205345

Least Common Multiple (LCM) of 3765 and 3773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3765 and 3773. First we will calculate the prime factors of 3765 and 3773.

Prime Factorization of 3765

Prime Factorization of 3773

Now multiplying the highest exponent prime factors to calculate the LCM of 3765 and 3773.

LCM(3765,3773) = 3¹ × 5¹ × 251¹ × 7³ × 11¹
LCM(3765,3773) = 14205345