What is the Least Common Multiple of 89156 and 89174?

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 89156 and 89174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89156 and 89174, than apply into the LCM equation.

GCF(89156,89174) = 2
LCM(89156,89174) = ( 89156 × 89174) / 2
LCM(89156,89174) = 7950397144 / 2
LCM(89156,89174) = 3975198572

Least Common Multiple (LCM) of 89156 and 89174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89156 and 89174. First we will calculate the prime factors of 89156 and 89174.

Prime Factorization of 89156

Prime Factorization of 89174

Now multiplying the highest exponent prime factors to calculate the LCM of 89156 and 89174.

LCM(89156,89174) = 2² × 31¹ × 719¹ × 44587¹
LCM(89156,89174) = 3975198572