GCF and LCM Calculator Logo

What is the Least Common Multiple of 95084 and 95088?

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 95084 and 95088 is 2260336848.

LCM(95084,95088) = 2260336848

LCM Calculator and
and

Least Common Multiple of 95084 and 95088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95084 and 95088, than apply into the LCM equation.

GCF(95084,95088) = 4
LCM(95084,95088) = ( 95084 × 95088) / 4
LCM(95084,95088) = 9041347392 / 4
LCM(95084,95088) = 2260336848

Least Common Multiple (LCM) of 95084 and 95088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95084 and 95088. First we will calculate the prime factors of 95084 and 95088.

Prime Factorization of 95084

Prime factors of 95084 are 2, 11, 2161. Prime factorization of 95084 in exponential form is:

95084 = 22 × 111 × 21611

Prime Factorization of 95088

Prime factors of 95088 are 2, 3, 7, 283. Prime factorization of 95088 in exponential form is:

95088 = 24 × 31 × 71 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 95084 and 95088.

LCM(95084,95088) = 24 × 111 × 21611 × 31 × 71 × 2831
LCM(95084,95088) = 2260336848