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What is the Least Common Multiple of 26937 and 26950?

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 26937 and 26950 is 725952150.

LCM(26937,26950) = 725952150

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Least Common Multiple of 26937 and 26950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26937 and 26950, than apply into the LCM equation.

GCF(26937,26950) = 1
LCM(26937,26950) = ( 26937 × 26950) / 1
LCM(26937,26950) = 725952150 / 1
LCM(26937,26950) = 725952150

Least Common Multiple (LCM) of 26937 and 26950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26937 and 26950. First we will calculate the prime factors of 26937 and 26950.

Prime Factorization of 26937

Prime factors of 26937 are 3, 41, 73. Prime factorization of 26937 in exponential form is:

26937 = 32 × 411 × 731

Prime Factorization of 26950

Prime factors of 26950 are 2, 5, 7, 11. Prime factorization of 26950 in exponential form is:

26950 = 21 × 52 × 72 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 26937 and 26950.

LCM(26937,26950) = 32 × 411 × 731 × 21 × 52 × 72 × 111
LCM(26937,26950) = 725952150