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What is the Least Common Multiple of 26371 and 26380?

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 26371 and 26380 is 695666980.

LCM(26371,26380) = 695666980

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Least Common Multiple of 26371 and 26380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26371 and 26380, than apply into the LCM equation.

GCF(26371,26380) = 1
LCM(26371,26380) = ( 26371 × 26380) / 1
LCM(26371,26380) = 695666980 / 1
LCM(26371,26380) = 695666980

Least Common Multiple (LCM) of 26371 and 26380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26371 and 26380. First we will calculate the prime factors of 26371 and 26380.

Prime Factorization of 26371

Prime factors of 26371 are 26371. Prime factorization of 26371 in exponential form is:

26371 = 263711

Prime Factorization of 26380

Prime factors of 26380 are 2, 5, 1319. Prime factorization of 26380 in exponential form is:

26380 = 22 × 51 × 13191

Now multiplying the highest exponent prime factors to calculate the LCM of 26371 and 26380.

LCM(26371,26380) = 263711 × 22 × 51 × 13191
LCM(26371,26380) = 695666980