What is the Least Common Multiple of 57969 and 57982?

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 57969 and 57982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57969 and 57982, than apply into the LCM equation.

GCF(57969,57982) = 1
LCM(57969,57982) = ( 57969 × 57982) / 1
LCM(57969,57982) = 3361158558 / 1
LCM(57969,57982) = 3361158558

Least Common Multiple (LCM) of 57969 and 57982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57969 and 57982. First we will calculate the prime factors of 57969 and 57982.

Prime Factorization of 57969

Prime Factorization of 57982

Now multiplying the highest exponent prime factors to calculate the LCM of 57969 and 57982.

LCM(57969,57982) = 3³ × 19¹ × 113¹ × 2¹ × 53¹ × 547¹
LCM(57969,57982) = 3361158558