What is the Least Common Multiple of 63982 and 64002?

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 63982 and 64002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63982 and 64002, than apply into the LCM equation.

GCF(63982,64002) = 2
LCM(63982,64002) = ( 63982 × 64002) / 2
LCM(63982,64002) = 4094975964 / 2
LCM(63982,64002) = 2047487982

Least Common Multiple (LCM) of 63982 and 64002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63982 and 64002. First we will calculate the prime factors of 63982 and 64002.

Prime Factorization of 63982

Prime Factorization of 64002

Now multiplying the highest exponent prime factors to calculate the LCM of 63982 and 64002.

LCM(63982,64002) = 2¹ × 31991¹ × 3¹ × 10667¹
LCM(63982,64002) = 2047487982