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What is the Least Common Multiple of 67870 and 67875?

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 67870 and 67875 is 921335250.

LCM(67870,67875) = 921335250

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Least Common Multiple of 67870 and 67875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67870 and 67875, than apply into the LCM equation.

GCF(67870,67875) = 5
LCM(67870,67875) = ( 67870 × 67875) / 5
LCM(67870,67875) = 4606676250 / 5
LCM(67870,67875) = 921335250

Least Common Multiple (LCM) of 67870 and 67875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67870 and 67875. First we will calculate the prime factors of 67870 and 67875.

Prime Factorization of 67870

Prime factors of 67870 are 2, 5, 11, 617. Prime factorization of 67870 in exponential form is:

67870 = 21 × 51 × 111 × 6171

Prime Factorization of 67875

Prime factors of 67875 are 3, 5, 181. Prime factorization of 67875 in exponential form is:

67875 = 31 × 53 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 67870 and 67875.

LCM(67870,67875) = 21 × 53 × 111 × 6171 × 31 × 1811
LCM(67870,67875) = 921335250