What is the Least Common Multiple of 75354 and 75369?

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 75354 and 75369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75354 and 75369, than apply into the LCM equation.

GCF(75354,75369) = 3
LCM(75354,75369) = ( 75354 × 75369) / 3
LCM(75354,75369) = 5679355626 / 3
LCM(75354,75369) = 1893118542

Least Common Multiple (LCM) of 75354 and 75369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75354 and 75369. First we will calculate the prime factors of 75354 and 75369.

Prime Factorization of 75354

Prime Factorization of 75369

Now multiplying the highest exponent prime factors to calculate the LCM of 75354 and 75369.

LCM(75354,75369) = 2¹ × 3¹ × 19¹ × 661¹ × 7¹ × 37¹ × 97¹
LCM(75354,75369) = 1893118542