What is the Least Common Multiple of 87414 and 87431?

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 87414 and 87431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87414 and 87431, than apply into the LCM equation.

GCF(87414,87431) = 17
LCM(87414,87431) = ( 87414 × 87431) / 17
LCM(87414,87431) = 7642693434 / 17
LCM(87414,87431) = 449570202

Least Common Multiple (LCM) of 87414 and 87431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87414 and 87431. First we will calculate the prime factors of 87414 and 87431.

Prime Factorization of 87414

Prime Factorization of 87431

Now multiplying the highest exponent prime factors to calculate the LCM of 87414 and 87431.

LCM(87414,87431) = 2¹ × 3¹ × 17¹ × 857¹ × 37¹ × 139¹
LCM(87414,87431) = 449570202