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What is the Least Common Multiple of 26974 and 26990?

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 26974 and 26990 is 364014130.

LCM(26974,26990) = 364014130

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Least Common Multiple of 26974 and 26990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26974 and 26990, than apply into the LCM equation.

GCF(26974,26990) = 2
LCM(26974,26990) = ( 26974 × 26990) / 2
LCM(26974,26990) = 728028260 / 2
LCM(26974,26990) = 364014130

Least Common Multiple (LCM) of 26974 and 26990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26974 and 26990. First we will calculate the prime factors of 26974 and 26990.

Prime Factorization of 26974

Prime factors of 26974 are 2, 13487. Prime factorization of 26974 in exponential form is:

26974 = 21 × 134871

Prime Factorization of 26990

Prime factors of 26990 are 2, 5, 2699. Prime factorization of 26990 in exponential form is:

26990 = 21 × 51 × 26991

Now multiplying the highest exponent prime factors to calculate the LCM of 26974 and 26990.

LCM(26974,26990) = 21 × 134871 × 51 × 26991
LCM(26974,26990) = 364014130