What is the Least Common Multiple of 87900 and 87914?

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 87900 and 87914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87900 and 87914, than apply into the LCM equation.

GCF(87900,87914) = 2
LCM(87900,87914) = ( 87900 × 87914) / 2
LCM(87900,87914) = 7727640600 / 2
LCM(87900,87914) = 3863820300

Least Common Multiple (LCM) of 87900 and 87914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87900 and 87914. First we will calculate the prime factors of 87900 and 87914.

Prime Factorization of 87900

Prime Factorization of 87914

Now multiplying the highest exponent prime factors to calculate the LCM of 87900 and 87914.

LCM(87900,87914) = 2² × 3¹ × 5² × 293¹ × 113¹ × 389¹
LCM(87900,87914) = 3863820300