What is the Least Common Multiple of 75783 and 75802?

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 75783 and 75802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75783 and 75802, than apply into the LCM equation.

GCF(75783,75802) = 1
LCM(75783,75802) = ( 75783 × 75802) / 1
LCM(75783,75802) = 5744502966 / 1
LCM(75783,75802) = 5744502966

Least Common Multiple (LCM) of 75783 and 75802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75783 and 75802. First we will calculate the prime factors of 75783 and 75802.

Prime Factorization of 75783

Prime Factorization of 75802

Now multiplying the highest exponent prime factors to calculate the LCM of 75783 and 75802.

LCM(75783,75802) = 3¹ × 25261¹ × 2¹ × 151¹ × 251¹
LCM(75783,75802) = 5744502966