What is the Least Common Multiple of 73968 and 73982?

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 73982 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 73982, than apply into the LCM equation.

GCF(73968,73982) = 2
LCM(73968,73982) = ( 73968 × 73982) / 2
LCM(73968,73982) = 5472300576 / 2
LCM(73968,73982) = 2736150288

Least Common Multiple (LCM) of 73968 and 73982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73968 and 73982. First we will calculate the prime factors of 73968 and 73982.

Prime Factorization of 73968

Prime Factorization of 73982

Now multiplying the highest exponent prime factors to calculate the LCM of 73968 and 73982.

LCM(73968,73982) = 2⁴ × 3¹ × 23¹ × 67¹ × 71¹ × 521¹
LCM(73968,73982) = 2736150288