What is the Least Common Multiple of 88870 and 88877?

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 88870 and 88877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88870 and 88877, than apply into the LCM equation.

GCF(88870,88877) = 1
LCM(88870,88877) = ( 88870 × 88877) / 1
LCM(88870,88877) = 7898498990 / 1
LCM(88870,88877) = 7898498990

Least Common Multiple (LCM) of 88870 and 88877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88870 and 88877. First we will calculate the prime factors of 88870 and 88877.

Prime Factorization of 88870

Prime Factorization of 88877

Now multiplying the highest exponent prime factors to calculate the LCM of 88870 and 88877.

LCM(88870,88877) = 2¹ × 5¹ × 8887¹ × 31¹ × 47¹ × 61¹
LCM(88870,88877) = 7898498990