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What is the Least Common Multiple of 67878 and 67884?

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 67878 and 67884 is 767971692.

LCM(67878,67884) = 767971692

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Least Common Multiple of 67878 and 67884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67878 and 67884, than apply into the LCM equation.

GCF(67878,67884) = 6
LCM(67878,67884) = ( 67878 × 67884) / 6
LCM(67878,67884) = 4607830152 / 6
LCM(67878,67884) = 767971692

Least Common Multiple (LCM) of 67878 and 67884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67878 and 67884. First we will calculate the prime factors of 67878 and 67884.

Prime Factorization of 67878

Prime factors of 67878 are 2, 3, 419. Prime factorization of 67878 in exponential form is:

67878 = 21 × 34 × 4191

Prime Factorization of 67884

Prime factors of 67884 are 2, 3, 5657. Prime factorization of 67884 in exponential form is:

67884 = 22 × 31 × 56571

Now multiplying the highest exponent prime factors to calculate the LCM of 67878 and 67884.

LCM(67878,67884) = 22 × 34 × 4191 × 56571
LCM(67878,67884) = 767971692