What is the Least Common Multiple of 61982 and 62000?

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 61982 and 62000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61982 and 62000, than apply into the LCM equation.

GCF(61982,62000) = 2
LCM(61982,62000) = ( 61982 × 62000) / 2
LCM(61982,62000) = 3842884000 / 2
LCM(61982,62000) = 1921442000

Least Common Multiple (LCM) of 61982 and 62000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61982 and 62000. First we will calculate the prime factors of 61982 and 62000.

Prime Factorization of 61982

Prime Factorization of 62000

Now multiplying the highest exponent prime factors to calculate the LCM of 61982 and 62000.

LCM(61982,62000) = 2⁴ × 17¹ × 1823¹ × 5³ × 31¹
LCM(61982,62000) = 1921442000