What is the Least Common Multiple of 73993 and 74000?

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 73993 and 74000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73993 and 74000, than apply into the LCM equation.

GCF(73993,74000) = 1
LCM(73993,74000) = ( 73993 × 74000) / 1
LCM(73993,74000) = 5475482000 / 1
LCM(73993,74000) = 5475482000

Least Common Multiple (LCM) of 73993 and 74000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73993 and 74000. First we will calculate the prime factors of 73993 and 74000.

Prime Factorization of 73993

Prime Factorization of 74000

Now multiplying the highest exponent prime factors to calculate the LCM of 73993 and 74000.

LCM(73993,74000) = 61¹ × 1213¹ × 2⁴ × 5³ × 37¹
LCM(73993,74000) = 5475482000