What is the Least Common Multiple of 57946 and 57965?

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 57946 and 57965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57946 and 57965, than apply into the LCM equation.

GCF(57946,57965) = 1
LCM(57946,57965) = ( 57946 × 57965) / 1
LCM(57946,57965) = 3358839890 / 1
LCM(57946,57965) = 3358839890

Least Common Multiple (LCM) of 57946 and 57965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57946 and 57965. First we will calculate the prime factors of 57946 and 57965.

Prime Factorization of 57946

Prime Factorization of 57965

Now multiplying the highest exponent prime factors to calculate the LCM of 57946 and 57965.

LCM(57946,57965) = 2¹ × 7¹ × 4139¹ × 5¹ × 11593¹
LCM(57946,57965) = 3358839890