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What is the Least Common Multiple of 26947 and 26954?

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 26947 and 26954 is 726329438.

LCM(26947,26954) = 726329438

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Least Common Multiple of 26947 and 26954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26947 and 26954, than apply into the LCM equation.

GCF(26947,26954) = 1
LCM(26947,26954) = ( 26947 × 26954) / 1
LCM(26947,26954) = 726329438 / 1
LCM(26947,26954) = 726329438

Least Common Multiple (LCM) of 26947 and 26954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26947 and 26954. First we will calculate the prime factors of 26947 and 26954.

Prime Factorization of 26947

Prime factors of 26947 are 26947. Prime factorization of 26947 in exponential form is:

26947 = 269471

Prime Factorization of 26954

Prime factors of 26954 are 2, 13477. Prime factorization of 26954 in exponential form is:

26954 = 21 × 134771

Now multiplying the highest exponent prime factors to calculate the LCM of 26947 and 26954.

LCM(26947,26954) = 269471 × 21 × 134771
LCM(26947,26954) = 726329438