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What is the Least Common Multiple of 26614 and 26625?

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 26614 and 26625 is 708597750.

LCM(26614,26625) = 708597750

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Least Common Multiple of 26614 and 26625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26614 and 26625, than apply into the LCM equation.

GCF(26614,26625) = 1
LCM(26614,26625) = ( 26614 × 26625) / 1
LCM(26614,26625) = 708597750 / 1
LCM(26614,26625) = 708597750

Least Common Multiple (LCM) of 26614 and 26625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26614 and 26625. First we will calculate the prime factors of 26614 and 26625.

Prime Factorization of 26614

Prime factors of 26614 are 2, 7, 1901. Prime factorization of 26614 in exponential form is:

26614 = 21 × 71 × 19011

Prime Factorization of 26625

Prime factors of 26625 are 3, 5, 71. Prime factorization of 26625 in exponential form is:

26625 = 31 × 53 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 26614 and 26625.

LCM(26614,26625) = 21 × 71 × 19011 × 31 × 53 × 711
LCM(26614,26625) = 708597750