What is the Least Common Multiple of 75918 and 75933?

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 75918 and 75933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75918 and 75933, than apply into the LCM equation.

GCF(75918,75933) = 3
LCM(75918,75933) = ( 75918 × 75933) / 3
LCM(75918,75933) = 5764681494 / 3
LCM(75918,75933) = 1921560498

Least Common Multiple (LCM) of 75918 and 75933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75918 and 75933. First we will calculate the prime factors of 75918 and 75933.

Prime Factorization of 75918

Prime Factorization of 75933

Now multiplying the highest exponent prime factors to calculate the LCM of 75918 and 75933.

LCM(75918,75933) = 2¹ × 3² × 12653¹ × 11¹ × 13¹ × 59¹
LCM(75918,75933) = 1921560498