What is the Least Common Multiple of 57982 and 58002?

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 57982 and 58002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57982 and 58002, than apply into the LCM equation.

GCF(57982,58002) = 2
LCM(57982,58002) = ( 57982 × 58002) / 2
LCM(57982,58002) = 3363071964 / 2
LCM(57982,58002) = 1681535982

Least Common Multiple (LCM) of 57982 and 58002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57982 and 58002. First we will calculate the prime factors of 57982 and 58002.

Prime Factorization of 57982

Prime Factorization of 58002

Now multiplying the highest exponent prime factors to calculate the LCM of 57982 and 58002.

LCM(57982,58002) = 2¹ × 53¹ × 547¹ × 3¹ × 7¹ × 1381¹
LCM(57982,58002) = 1681535982