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What is the Least Common Multiple of 26840 and 26850?

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 26840 and 26850 is 72065400.

LCM(26840,26850) = 72065400

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Least Common Multiple of 26840 and 26850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26840 and 26850, than apply into the LCM equation.

GCF(26840,26850) = 10
LCM(26840,26850) = ( 26840 × 26850) / 10
LCM(26840,26850) = 720654000 / 10
LCM(26840,26850) = 72065400

Least Common Multiple (LCM) of 26840 and 26850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26840 and 26850. First we will calculate the prime factors of 26840 and 26850.

Prime Factorization of 26840

Prime factors of 26840 are 2, 5, 11, 61. Prime factorization of 26840 in exponential form is:

26840 = 23 × 51 × 111 × 611

Prime Factorization of 26850

Prime factors of 26850 are 2, 3, 5, 179. Prime factorization of 26850 in exponential form is:

26850 = 21 × 31 × 52 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 26840 and 26850.

LCM(26840,26850) = 23 × 52 × 111 × 611 × 31 × 1791
LCM(26840,26850) = 72065400