What is the Least Common Multiple of 75942 and 75949?

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 75942 and 75949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75942 and 75949, than apply into the LCM equation.

GCF(75942,75949) = 1
LCM(75942,75949) = ( 75942 × 75949) / 1
LCM(75942,75949) = 5767718958 / 1
LCM(75942,75949) = 5767718958

Least Common Multiple (LCM) of 75942 and 75949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75942 and 75949. First we will calculate the prime factors of 75942 and 75949.

Prime Factorization of 75942

Prime Factorization of 75949

Now multiplying the highest exponent prime factors to calculate the LCM of 75942 and 75949.

LCM(75942,75949) = 2¹ × 3² × 4219¹ × 53¹ × 1433¹
LCM(75942,75949) = 5767718958