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What is the Least Common Multiple of 26546 and 26560?

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 26546 and 26560 is 352530880.

LCM(26546,26560) = 352530880

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Least Common Multiple of 26546 and 26560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26546 and 26560, than apply into the LCM equation.

GCF(26546,26560) = 2
LCM(26546,26560) = ( 26546 × 26560) / 2
LCM(26546,26560) = 705061760 / 2
LCM(26546,26560) = 352530880

Least Common Multiple (LCM) of 26546 and 26560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26546 and 26560. First we will calculate the prime factors of 26546 and 26560.

Prime Factorization of 26546

Prime factors of 26546 are 2, 13, 1021. Prime factorization of 26546 in exponential form is:

26546 = 21 × 131 × 10211

Prime Factorization of 26560

Prime factors of 26560 are 2, 5, 83. Prime factorization of 26560 in exponential form is:

26560 = 26 × 51 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 26546 and 26560.

LCM(26546,26560) = 26 × 131 × 10211 × 51 × 831
LCM(26546,26560) = 352530880