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What is the Least Common Multiple of 26741 and 26759?

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 26741 and 26759 is 715562419.

LCM(26741,26759) = 715562419

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Least Common Multiple of 26741 and 26759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26741 and 26759, than apply into the LCM equation.

GCF(26741,26759) = 1
LCM(26741,26759) = ( 26741 × 26759) / 1
LCM(26741,26759) = 715562419 / 1
LCM(26741,26759) = 715562419

Least Common Multiple (LCM) of 26741 and 26759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26741 and 26759. First we will calculate the prime factors of 26741 and 26759.

Prime Factorization of 26741

Prime factors of 26741 are 11, 13, 17. Prime factorization of 26741 in exponential form is:

26741 = 112 × 131 × 171

Prime Factorization of 26759

Prime factors of 26759 are 26759. Prime factorization of 26759 in exponential form is:

26759 = 267591

Now multiplying the highest exponent prime factors to calculate the LCM of 26741 and 26759.

LCM(26741,26759) = 112 × 131 × 171 × 267591
LCM(26741,26759) = 715562419