What is the Least Common Multiple of 4935 and 4950?

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 4935 and 4950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4935 and 4950, than apply into the LCM equation.

GCF(4935,4950) = 15
LCM(4935,4950) = ( 4935 × 4950) / 15
LCM(4935,4950) = 24428250 / 15
LCM(4935,4950) = 1628550

Least Common Multiple (LCM) of 4935 and 4950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4935 and 4950. First we will calculate the prime factors of 4935 and 4950.

Prime Factorization of 4935

Prime Factorization of 4950

Now multiplying the highest exponent prime factors to calculate the LCM of 4935 and 4950.

LCM(4935,4950) = 3² × 5² × 7¹ × 47¹ × 2¹ × 11¹
LCM(4935,4950) = 1628550