What is the Least Common Multiple of 7998 and 8002?

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 7998 and 8002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7998 and 8002, than apply into the LCM equation.

GCF(7998,8002) = 2
LCM(7998,8002) = ( 7998 × 8002) / 2
LCM(7998,8002) = 63999996 / 2
LCM(7998,8002) = 31999998

Least Common Multiple (LCM) of 7998 and 8002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7998 and 8002. First we will calculate the prime factors of 7998 and 8002.

Prime Factorization of 7998

Prime Factorization of 8002

Now multiplying the highest exponent prime factors to calculate the LCM of 7998 and 8002.

LCM(7998,8002) = 2¹ × 3¹ × 31¹ × 43¹ × 4001¹
LCM(7998,8002) = 31999998