What is the Least Common Multiple of 87905 and 87923?

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 87905 and 87923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87905 and 87923, than apply into the LCM equation.

GCF(87905,87923) = 1
LCM(87905,87923) = ( 87905 × 87923) / 1
LCM(87905,87923) = 7728871315 / 1
LCM(87905,87923) = 7728871315

Least Common Multiple (LCM) of 87905 and 87923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87905 and 87923. First we will calculate the prime factors of 87905 and 87923.

Prime Factorization of 87905

Prime Factorization of 87923

Now multiplying the highest exponent prime factors to calculate the LCM of 87905 and 87923.

LCM(87905,87923) = 5¹ × 17581¹ × 11¹ × 7993¹
LCM(87905,87923) = 7728871315