What is the Least Common Multiple of 75361 and 75366?

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 75361 and 75366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75361 and 75366, than apply into the LCM equation.

GCF(75361,75366) = 1
LCM(75361,75366) = ( 75361 × 75366) / 1
LCM(75361,75366) = 5679657126 / 1
LCM(75361,75366) = 5679657126

Least Common Multiple (LCM) of 75361 and 75366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75361 and 75366. First we will calculate the prime factors of 75361 and 75366.

Prime Factorization of 75361

Prime Factorization of 75366

Now multiplying the highest exponent prime factors to calculate the LCM of 75361 and 75366.

LCM(75361,75366) = 11¹ × 13¹ × 17¹ × 31¹ × 2¹ × 3² × 53¹ × 79¹
LCM(75361,75366) = 5679657126