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What is the Least Common Multiple of 26037 and 26057?

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 26037 and 26057 is 678446109.

LCM(26037,26057) = 678446109

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Least Common Multiple of 26037 and 26057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26037 and 26057, than apply into the LCM equation.

GCF(26037,26057) = 1
LCM(26037,26057) = ( 26037 × 26057) / 1
LCM(26037,26057) = 678446109 / 1
LCM(26037,26057) = 678446109

Least Common Multiple (LCM) of 26037 and 26057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26037 and 26057. First we will calculate the prime factors of 26037 and 26057.

Prime Factorization of 26037

Prime factors of 26037 are 3, 11, 263. Prime factorization of 26037 in exponential form is:

26037 = 32 × 111 × 2631

Prime Factorization of 26057

Prime factors of 26057 are 71, 367. Prime factorization of 26057 in exponential form is:

26057 = 711 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 26037 and 26057.

LCM(26037,26057) = 32 × 111 × 2631 × 711 × 3671
LCM(26037,26057) = 678446109