What is the Least Common Multiple of 87815 and 87827?

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 87815 and 87827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87815 and 87827, than apply into the LCM equation.

GCF(87815,87827) = 1
LCM(87815,87827) = ( 87815 × 87827) / 1
LCM(87815,87827) = 7712528005 / 1
LCM(87815,87827) = 7712528005

Least Common Multiple (LCM) of 87815 and 87827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87815 and 87827. First we will calculate the prime factors of 87815 and 87827.

Prime Factorization of 87815

Prime Factorization of 87827

Now multiplying the highest exponent prime factors to calculate the LCM of 87815 and 87827.

LCM(87815,87827) = 5¹ × 7¹ × 13¹ × 193¹ × 71¹ × 1237¹
LCM(87815,87827) = 7712528005