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What is the Least Common Multiple of 8870 and 8888?

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 (LCM) of 8870 and 8888 is 39418280.

LCM(8870,8888) = 39418280

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Least Common Multiple of 8870 and 8888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8870 and 8888, than apply into the LCM equation.

GCF(8870,8888) = 2
LCM(8870,8888) = ( 8870 × 8888) / 2
LCM(8870,8888) = 78836560 / 2
LCM(8870,8888) = 39418280

Least Common Multiple (LCM) of 8870 and 8888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8870 and 8888. First we will calculate the prime factors of 8870 and 8888.

Prime Factorization of 8870

Prime factors of 8870 are 2, 5, 887. Prime factorization of 8870 in exponential form is:

8870 = 21 × 51 × 8871

Prime Factorization of 8888

Prime factors of 8888 are 2, 11, 101. Prime factorization of 8888 in exponential form is:

8888 = 23 × 111 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 8870 and 8888.

LCM(8870,8888) = 23 × 51 × 8871 × 111 × 1011
LCM(8870,8888) = 39418280