What is the Least Common Multiple of 95836 and 95842?

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 95836 and 95842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95836 and 95842, than apply into the LCM equation.

GCF(95836,95842) = 2
LCM(95836,95842) = ( 95836 × 95842) / 2
LCM(95836,95842) = 9185113912 / 2
LCM(95836,95842) = 4592556956

Least Common Multiple (LCM) of 95836 and 95842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95836 and 95842. First we will calculate the prime factors of 95836 and 95842.

Prime Factorization of 95836

Prime Factorization of 95842

Now multiplying the highest exponent prime factors to calculate the LCM of 95836 and 95842.

LCM(95836,95842) = 2² × 13¹ × 19¹ × 97¹ × 173¹ × 277¹
LCM(95836,95842) = 4592556956