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What is the Least Common Multiple of 26540 and 26554?

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 26540 and 26554 is 352371580.

LCM(26540,26554) = 352371580

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Least Common Multiple of 26540 and 26554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26540 and 26554, than apply into the LCM equation.

GCF(26540,26554) = 2
LCM(26540,26554) = ( 26540 × 26554) / 2
LCM(26540,26554) = 704743160 / 2
LCM(26540,26554) = 352371580

Least Common Multiple (LCM) of 26540 and 26554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26540 and 26554. First we will calculate the prime factors of 26540 and 26554.

Prime Factorization of 26540

Prime factors of 26540 are 2, 5, 1327. Prime factorization of 26540 in exponential form is:

26540 = 22 × 51 × 13271

Prime Factorization of 26554

Prime factors of 26554 are 2, 11, 17, 71. Prime factorization of 26554 in exponential form is:

26554 = 21 × 111 × 171 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 26540 and 26554.

LCM(26540,26554) = 22 × 51 × 13271 × 111 × 171 × 711
LCM(26540,26554) = 352371580