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What is the Least Common Multiple of 26472 and 26485?

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 26472 and 26485 is 701110920.

LCM(26472,26485) = 701110920

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Least Common Multiple of 26472 and 26485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26472 and 26485, than apply into the LCM equation.

GCF(26472,26485) = 1
LCM(26472,26485) = ( 26472 × 26485) / 1
LCM(26472,26485) = 701110920 / 1
LCM(26472,26485) = 701110920

Least Common Multiple (LCM) of 26472 and 26485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26472 and 26485. First we will calculate the prime factors of 26472 and 26485.

Prime Factorization of 26472

Prime factors of 26472 are 2, 3, 1103. Prime factorization of 26472 in exponential form is:

26472 = 23 × 31 × 11031

Prime Factorization of 26485

Prime factors of 26485 are 5, 5297. Prime factorization of 26485 in exponential form is:

26485 = 51 × 52971

Now multiplying the highest exponent prime factors to calculate the LCM of 26472 and 26485.

LCM(26472,26485) = 23 × 31 × 11031 × 51 × 52971
LCM(26472,26485) = 701110920