What is the Least Common Multiple of 3936 and 3945?

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 3936 and 3945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3936 and 3945, than apply into the LCM equation.

GCF(3936,3945) = 3
LCM(3936,3945) = ( 3936 × 3945) / 3
LCM(3936,3945) = 15527520 / 3
LCM(3936,3945) = 5175840

Least Common Multiple (LCM) of 3936 and 3945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3936 and 3945. First we will calculate the prime factors of 3936 and 3945.

Prime Factorization of 3936

Prime Factorization of 3945

Now multiplying the highest exponent prime factors to calculate the LCM of 3936 and 3945.

LCM(3936,3945) = 2⁵ × 3¹ × 41¹ × 5¹ × 263¹
LCM(3936,3945) = 5175840