What is the Least Common Multiple of 3930 and 3950?

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 3930 and 3950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3930 and 3950, than apply into the LCM equation.

GCF(3930,3950) = 10
LCM(3930,3950) = ( 3930 × 3950) / 10
LCM(3930,3950) = 15523500 / 10
LCM(3930,3950) = 1552350

Least Common Multiple (LCM) of 3930 and 3950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3930 and 3950. First we will calculate the prime factors of 3930 and 3950.

Prime Factorization of 3930

Prime Factorization of 3950

Now multiplying the highest exponent prime factors to calculate the LCM of 3930 and 3950.

LCM(3930,3950) = 2¹ × 3¹ × 5² × 131¹ × 79¹
LCM(3930,3950) = 1552350