GCF and LCM Calculator Logo

What is the Least Common Multiple of 86159 and 86177?

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 86159 and 86177 is 7424924143.

LCM(86159,86177) = 7424924143

LCM Calculator and
and

Least Common Multiple of 86159 and 86177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86159 and 86177, than apply into the LCM equation.

GCF(86159,86177) = 1
LCM(86159,86177) = ( 86159 × 86177) / 1
LCM(86159,86177) = 7424924143 / 1
LCM(86159,86177) = 7424924143

Least Common Multiple (LCM) of 86159 and 86177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86159 and 86177. First we will calculate the prime factors of 86159 and 86177.

Prime Factorization of 86159

Prime factors of 86159 are 29, 2971. Prime factorization of 86159 in exponential form is:

86159 = 291 × 29711

Prime Factorization of 86177

Prime factors of 86177 are 7, 13, 947. Prime factorization of 86177 in exponential form is:

86177 = 71 × 131 × 9471

Now multiplying the highest exponent prime factors to calculate the LCM of 86159 and 86177.

LCM(86159,86177) = 291 × 29711 × 71 × 131 × 9471
LCM(86159,86177) = 7424924143