What is the Least Common Multiple of 87344 and 87354?

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 87344 and 87354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87344 and 87354, than apply into the LCM equation.

GCF(87344,87354) = 2
LCM(87344,87354) = ( 87344 × 87354) / 2
LCM(87344,87354) = 7629847776 / 2
LCM(87344,87354) = 3814923888

Least Common Multiple (LCM) of 87344 and 87354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87344 and 87354. First we will calculate the prime factors of 87344 and 87354.

Prime Factorization of 87344

Prime Factorization of 87354

Now multiplying the highest exponent prime factors to calculate the LCM of 87344 and 87354.

LCM(87344,87354) = 2⁴ × 53¹ × 103¹ × 3² × 23¹ × 211¹
LCM(87344,87354) = 3814923888