What is the Least Common Multiple of 73993 and 74002?

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 74002 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 74002, than apply into the LCM equation.

GCF(73993,74002) = 1
LCM(73993,74002) = ( 73993 × 74002) / 1
LCM(73993,74002) = 5475629986 / 1
LCM(73993,74002) = 5475629986

Least Common Multiple (LCM) of 73993 and 74002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73993 and 74002. First we will calculate the prime factors of 73993 and 74002.

Prime Factorization of 73993

Prime Factorization of 74002

Now multiplying the highest exponent prime factors to calculate the LCM of 73993 and 74002.

LCM(73993,74002) = 61¹ × 1213¹ × 2¹ × 163¹ × 227¹
LCM(73993,74002) = 5475629986