GCF and LCM Calculator Logo

What is the Least Common Multiple of 26950 and 26956?

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 26950 and 26956 is 363232100.

LCM(26950,26956) = 363232100

LCM Calculator and
and

Least Common Multiple of 26950 and 26956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26950 and 26956, than apply into the LCM equation.

GCF(26950,26956) = 2
LCM(26950,26956) = ( 26950 × 26956) / 2
LCM(26950,26956) = 726464200 / 2
LCM(26950,26956) = 363232100

Least Common Multiple (LCM) of 26950 and 26956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26950 and 26956. First we will calculate the prime factors of 26950 and 26956.

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

Prime Factorization of 26956

Prime factors of 26956 are 2, 23, 293. Prime factorization of 26956 in exponential form is:

26956 = 22 × 231 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 26950 and 26956.

LCM(26950,26956) = 22 × 52 × 72 × 111 × 231 × 2931
LCM(26950,26956) = 363232100