What is the Least Common Multiple of 3945 and 3954?

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 3945 and 3954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3945 and 3954, than apply into the LCM equation.

GCF(3945,3954) = 3
LCM(3945,3954) = ( 3945 × 3954) / 3
LCM(3945,3954) = 15598530 / 3
LCM(3945,3954) = 5199510

Least Common Multiple (LCM) of 3945 and 3954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3945 and 3954. First we will calculate the prime factors of 3945 and 3954.

Prime Factorization of 3945

Prime Factorization of 3954

Now multiplying the highest exponent prime factors to calculate the LCM of 3945 and 3954.

LCM(3945,3954) = 3¹ × 5¹ × 263¹ × 2¹ × 659¹
LCM(3945,3954) = 5199510