What is the Least Common Multiple of 73968 and 73975?

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 73968 and 73975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73968 and 73975, than apply into the LCM equation.

GCF(73968,73975) = 1
LCM(73968,73975) = ( 73968 × 73975) / 1
LCM(73968,73975) = 5471782800 / 1
LCM(73968,73975) = 5471782800

Least Common Multiple (LCM) of 73968 and 73975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73968 and 73975. First we will calculate the prime factors of 73968 and 73975.

Prime Factorization of 73968

Prime Factorization of 73975

Now multiplying the highest exponent prime factors to calculate the LCM of 73968 and 73975.

LCM(73968,73975) = 2⁴ × 3¹ × 23¹ × 67¹ × 5² × 11¹ × 269¹
LCM(73968,73975) = 5471782800