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What is the Least Common Multiple of 67870 and 67877?

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 67877 is 4606811990.

LCM(67870,67877) = 4606811990

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Least Common Multiple of 67870 and 67877 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 67877, than apply into the LCM equation.

GCF(67870,67877) = 1
LCM(67870,67877) = ( 67870 × 67877) / 1
LCM(67870,67877) = 4606811990 / 1
LCM(67870,67877) = 4606811990

Least Common Multiple (LCM) of 67870 and 67877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67870 and 67877. First we will calculate the prime factors of 67870 and 67877.

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 67877

Prime factors of 67877 are 103, 659. Prime factorization of 67877 in exponential form is:

67877 = 1031 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 67870 and 67877.

LCM(67870,67877) = 21 × 51 × 111 × 6171 × 1031 × 6591
LCM(67870,67877) = 4606811990