What is the Least Common Multiple of 7935 and 7950?

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 7935 and 7950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7935 and 7950, than apply into the LCM equation.

GCF(7935,7950) = 15
LCM(7935,7950) = ( 7935 × 7950) / 15
LCM(7935,7950) = 63083250 / 15
LCM(7935,7950) = 4205550

Least Common Multiple (LCM) of 7935 and 7950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7935 and 7950. First we will calculate the prime factors of 7935 and 7950.

Prime Factorization of 7935

Prime Factorization of 7950

Now multiplying the highest exponent prime factors to calculate the LCM of 7935 and 7950.

LCM(7935,7950) = 3¹ × 5² × 23² × 2¹ × 53¹
LCM(7935,7950) = 4205550