What is the Least Common Multiple of 75840 and 75859?

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 75840 and 75859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75840 and 75859, than apply into the LCM equation.

GCF(75840,75859) = 1
LCM(75840,75859) = ( 75840 × 75859) / 1
LCM(75840,75859) = 5753146560 / 1
LCM(75840,75859) = 5753146560

Least Common Multiple (LCM) of 75840 and 75859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75840 and 75859. First we will calculate the prime factors of 75840 and 75859.

Prime Factorization of 75840

Prime Factorization of 75859

Now multiplying the highest exponent prime factors to calculate the LCM of 75840 and 75859.

LCM(75840,75859) = 2⁶ × 3¹ × 5¹ × 79¹ × 7¹ × 10837¹
LCM(75840,75859) = 5753146560