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What is the Least Common Multiple of 26710 and 26725?

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 26710 and 26725 is 142764950.

LCM(26710,26725) = 142764950

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Least Common Multiple of 26710 and 26725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26710 and 26725, than apply into the LCM equation.

GCF(26710,26725) = 5
LCM(26710,26725) = ( 26710 × 26725) / 5
LCM(26710,26725) = 713824750 / 5
LCM(26710,26725) = 142764950

Least Common Multiple (LCM) of 26710 and 26725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26710 and 26725. First we will calculate the prime factors of 26710 and 26725.

Prime Factorization of 26710

Prime factors of 26710 are 2, 5, 2671. Prime factorization of 26710 in exponential form is:

26710 = 21 × 51 × 26711

Prime Factorization of 26725

Prime factors of 26725 are 5, 1069. Prime factorization of 26725 in exponential form is:

26725 = 52 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 26710 and 26725.

LCM(26710,26725) = 21 × 52 × 26711 × 10691
LCM(26710,26725) = 142764950