What is the Least Common Multiple of 73935 and 73952?

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 73935 and 73952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73935 and 73952, than apply into the LCM equation.

GCF(73935,73952) = 1
LCM(73935,73952) = ( 73935 × 73952) / 1
LCM(73935,73952) = 5467641120 / 1
LCM(73935,73952) = 5467641120

Least Common Multiple (LCM) of 73935 and 73952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73935 and 73952. First we will calculate the prime factors of 73935 and 73952.

Prime Factorization of 73935

Prime Factorization of 73952

Now multiplying the highest exponent prime factors to calculate the LCM of 73935 and 73952.

LCM(73935,73952) = 3² × 5¹ × 31¹ × 53¹ × 2⁵ × 2311¹
LCM(73935,73952) = 5467641120