What is the Least Common Multiple of 3705 and 3723?

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 3705 and 3723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3705 and 3723, than apply into the LCM equation.

GCF(3705,3723) = 3
LCM(3705,3723) = ( 3705 × 3723) / 3
LCM(3705,3723) = 13793715 / 3
LCM(3705,3723) = 4597905

Least Common Multiple (LCM) of 3705 and 3723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3705 and 3723. First we will calculate the prime factors of 3705 and 3723.

Prime Factorization of 3705

Prime Factorization of 3723

Now multiplying the highest exponent prime factors to calculate the LCM of 3705 and 3723.

LCM(3705,3723) = 3¹ × 5¹ × 13¹ × 19¹ × 17¹ × 73¹
LCM(3705,3723) = 4597905