What is the Least Common Multiple of 79982 and 80002?

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 79982 and 80002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79982 and 80002, than apply into the LCM equation.

GCF(79982,80002) = 2
LCM(79982,80002) = ( 79982 × 80002) / 2
LCM(79982,80002) = 6398719964 / 2
LCM(79982,80002) = 3199359982

Least Common Multiple (LCM) of 79982 and 80002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79982 and 80002. First we will calculate the prime factors of 79982 and 80002.

Prime Factorization of 79982

Prime Factorization of 80002

Now multiplying the highest exponent prime factors to calculate the LCM of 79982 and 80002.

LCM(79982,80002) = 2¹ × 7¹ × 29¹ × 197¹ × 13¹ × 17¹ × 181¹
LCM(79982,80002) = 3199359982