What is the Least Common Multiple of 63971 and 63982?

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 63971 and 63982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63971 and 63982, than apply into the LCM equation.

GCF(63971,63982) = 1
LCM(63971,63982) = ( 63971 × 63982) / 1
LCM(63971,63982) = 4092992522 / 1
LCM(63971,63982) = 4092992522

Least Common Multiple (LCM) of 63971 and 63982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63971 and 63982. First we will calculate the prime factors of 63971 and 63982.

Prime Factorization of 63971

Prime Factorization of 63982

Now multiplying the highest exponent prime factors to calculate the LCM of 63971 and 63982.

LCM(63971,63982) = 17¹ × 53¹ × 71¹ × 2¹ × 31991¹
LCM(63971,63982) = 4092992522