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What is the Least Common Multiple of 26719 and 26735?

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 26719 and 26735 is 714332465.

LCM(26719,26735) = 714332465

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Least Common Multiple of 26719 and 26735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26719 and 26735, than apply into the LCM equation.

GCF(26719,26735) = 1
LCM(26719,26735) = ( 26719 × 26735) / 1
LCM(26719,26735) = 714332465 / 1
LCM(26719,26735) = 714332465

Least Common Multiple (LCM) of 26719 and 26735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26719 and 26735. First we will calculate the prime factors of 26719 and 26735.

Prime Factorization of 26719

Prime factors of 26719 are 7, 11, 347. Prime factorization of 26719 in exponential form is:

26719 = 71 × 111 × 3471

Prime Factorization of 26735

Prime factors of 26735 are 5, 5347. Prime factorization of 26735 in exponential form is:

26735 = 51 × 53471

Now multiplying the highest exponent prime factors to calculate the LCM of 26719 and 26735.

LCM(26719,26735) = 71 × 111 × 3471 × 51 × 53471
LCM(26719,26735) = 714332465