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What is the Least Common Multiple of 26365 and 26378?

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 26365 and 26378 is 695455970.

LCM(26365,26378) = 695455970

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Least Common Multiple of 26365 and 26378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26365 and 26378, than apply into the LCM equation.

GCF(26365,26378) = 1
LCM(26365,26378) = ( 26365 × 26378) / 1
LCM(26365,26378) = 695455970 / 1
LCM(26365,26378) = 695455970

Least Common Multiple (LCM) of 26365 and 26378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26365 and 26378. First we will calculate the prime factors of 26365 and 26378.

Prime Factorization of 26365

Prime factors of 26365 are 5, 5273. Prime factorization of 26365 in exponential form is:

26365 = 51 × 52731

Prime Factorization of 26378

Prime factors of 26378 are 2, 11, 109. Prime factorization of 26378 in exponential form is:

26378 = 21 × 112 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 26365 and 26378.

LCM(26365,26378) = 51 × 52731 × 21 × 112 × 1091
LCM(26365,26378) = 695455970