What is the Least Common Multiple of 75969 and 75984?

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 75969 and 75984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75969 and 75984, than apply into the LCM equation.

GCF(75969,75984) = 3
LCM(75969,75984) = ( 75969 × 75984) / 3
LCM(75969,75984) = 5772428496 / 3
LCM(75969,75984) = 1924142832

Least Common Multiple (LCM) of 75969 and 75984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75969 and 75984. First we will calculate the prime factors of 75969 and 75984.

Prime Factorization of 75969

Prime Factorization of 75984

Now multiplying the highest exponent prime factors to calculate the LCM of 75969 and 75984.

LCM(75969,75984) = 3² × 23¹ × 367¹ × 2⁴ × 1583¹
LCM(75969,75984) = 1924142832