What is the Least Common Multiple of 75362 and 75367?

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 75362 and 75367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75362 and 75367, than apply into the LCM equation.

GCF(75362,75367) = 1
LCM(75362,75367) = ( 75362 × 75367) / 1
LCM(75362,75367) = 5679807854 / 1
LCM(75362,75367) = 5679807854

Least Common Multiple (LCM) of 75362 and 75367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75362 and 75367. First we will calculate the prime factors of 75362 and 75367.

Prime Factorization of 75362

Prime Factorization of 75367

Now multiplying the highest exponent prime factors to calculate the LCM of 75362 and 75367.

LCM(75362,75367) = 2¹ × 7² × 769¹ × 75367¹
LCM(75362,75367) = 5679807854