What is the Least Common Multiple of 75842 and 75847?

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 75842 and 75847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75842 and 75847, than apply into the LCM equation.

GCF(75842,75847) = 1
LCM(75842,75847) = ( 75842 × 75847) / 1
LCM(75842,75847) = 5752388174 / 1
LCM(75842,75847) = 5752388174

Least Common Multiple (LCM) of 75842 and 75847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75842 and 75847. First we will calculate the prime factors of 75842 and 75847.

Prime Factorization of 75842

Prime Factorization of 75847

Now multiplying the highest exponent prime factors to calculate the LCM of 75842 and 75847.

LCM(75842,75847) = 2¹ × 13¹ × 2917¹ × 73¹ × 1039¹
LCM(75842,75847) = 5752388174