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What is the Least Common Multiple of 26465 and 26478?

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 26465 and 26478 is 700740270.

LCM(26465,26478) = 700740270

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Least Common Multiple of 26465 and 26478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26465 and 26478, than apply into the LCM equation.

GCF(26465,26478) = 1
LCM(26465,26478) = ( 26465 × 26478) / 1
LCM(26465,26478) = 700740270 / 1
LCM(26465,26478) = 700740270

Least Common Multiple (LCM) of 26465 and 26478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26465 and 26478. First we will calculate the prime factors of 26465 and 26478.

Prime Factorization of 26465

Prime factors of 26465 are 5, 67, 79. Prime factorization of 26465 in exponential form is:

26465 = 51 × 671 × 791

Prime Factorization of 26478

Prime factors of 26478 are 2, 3, 1471. Prime factorization of 26478 in exponential form is:

26478 = 21 × 32 × 14711

Now multiplying the highest exponent prime factors to calculate the LCM of 26465 and 26478.

LCM(26465,26478) = 51 × 671 × 791 × 21 × 32 × 14711
LCM(26465,26478) = 700740270