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What is the Least Common Multiple of 6850 and 6868?

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 6850 and 6868 is 23522900.

LCM(6850,6868) = 23522900

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Least Common Multiple of 6850 and 6868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6850 and 6868, than apply into the LCM equation.

GCF(6850,6868) = 2
LCM(6850,6868) = ( 6850 × 6868) / 2
LCM(6850,6868) = 47045800 / 2
LCM(6850,6868) = 23522900

Least Common Multiple (LCM) of 6850 and 6868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6850 and 6868. First we will calculate the prime factors of 6850 and 6868.

Prime Factorization of 6850

Prime factors of 6850 are 2, 5, 137. Prime factorization of 6850 in exponential form is:

6850 = 21 × 52 × 1371

Prime Factorization of 6868

Prime factors of 6868 are 2, 17, 101. Prime factorization of 6868 in exponential form is:

6868 = 22 × 171 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 6850 and 6868.

LCM(6850,6868) = 22 × 52 × 1371 × 171 × 1011
LCM(6850,6868) = 23522900