What is the Least Common Multiple of 73984 and 74001?

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 73984 and 74001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73984 and 74001, than apply into the LCM equation.

GCF(73984,74001) = 17
LCM(73984,74001) = ( 73984 × 74001) / 17
LCM(73984,74001) = 5474889984 / 17
LCM(73984,74001) = 322052352

Least Common Multiple (LCM) of 73984 and 74001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73984 and 74001. First we will calculate the prime factors of 73984 and 74001.

Prime Factorization of 73984

Prime Factorization of 74001

Now multiplying the highest exponent prime factors to calculate the LCM of 73984 and 74001.

LCM(73984,74001) = 2⁸ × 17² × 3¹ × 1451¹
LCM(73984,74001) = 322052352