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What is the Least Common Multiple of 26948 and 26967?

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 26948 and 26967 is 726706716.

LCM(26948,26967) = 726706716

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Least Common Multiple of 26948 and 26967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26948 and 26967, than apply into the LCM equation.

GCF(26948,26967) = 1
LCM(26948,26967) = ( 26948 × 26967) / 1
LCM(26948,26967) = 726706716 / 1
LCM(26948,26967) = 726706716

Least Common Multiple (LCM) of 26948 and 26967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26948 and 26967. First we will calculate the prime factors of 26948 and 26967.

Prime Factorization of 26948

Prime factors of 26948 are 2, 6737. Prime factorization of 26948 in exponential form is:

26948 = 22 × 67371

Prime Factorization of 26967

Prime factors of 26967 are 3, 89, 101. Prime factorization of 26967 in exponential form is:

26967 = 31 × 891 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 26948 and 26967.

LCM(26948,26967) = 22 × 67371 × 31 × 891 × 1011
LCM(26948,26967) = 726706716