GCF and LCM Calculator Logo

What is the Least Common Multiple of 95827 and 95838?

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 (LCM) of 95827 and 95838 is 9183868026.

LCM(95827,95838) = 9183868026

LCM Calculator and
and

Least Common Multiple of 95827 and 95838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95827 and 95838, than apply into the LCM equation.

GCF(95827,95838) = 1
LCM(95827,95838) = ( 95827 × 95838) / 1
LCM(95827,95838) = 9183868026 / 1
LCM(95827,95838) = 9183868026

Least Common Multiple (LCM) of 95827 and 95838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95827 and 95838. First we will calculate the prime factors of 95827 and 95838.

Prime Factorization of 95827

Prime factors of 95827 are 79, 1213. Prime factorization of 95827 in exponential form is:

95827 = 791 × 12131

Prime Factorization of 95838

Prime factors of 95838 are 2, 3, 15973. Prime factorization of 95838 in exponential form is:

95838 = 21 × 31 × 159731

Now multiplying the highest exponent prime factors to calculate the LCM of 95827 and 95838.

LCM(95827,95838) = 791 × 12131 × 21 × 31 × 159731
LCM(95827,95838) = 9183868026