What is the Least Common Multiple of 87829 and 87847?

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 87829 and 87847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87829 and 87847, than apply into the LCM equation.

GCF(87829,87847) = 1
LCM(87829,87847) = ( 87829 × 87847) / 1
LCM(87829,87847) = 7715514163 / 1
LCM(87829,87847) = 7715514163

Least Common Multiple (LCM) of 87829 and 87847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87829 and 87847. First we will calculate the prime factors of 87829 and 87847.

Prime Factorization of 87829

Prime Factorization of 87847

Now multiplying the highest exponent prime factors to calculate the LCM of 87829 and 87847.

LCM(87829,87847) = 7¹ × 12547¹ × 107¹ × 821¹
LCM(87829,87847) = 7715514163