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What is the Least Common Multiple of 26252 and 26270?

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 26252 and 26270 is 344820020.

LCM(26252,26270) = 344820020

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Least Common Multiple of 26252 and 26270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26252 and 26270, than apply into the LCM equation.

GCF(26252,26270) = 2
LCM(26252,26270) = ( 26252 × 26270) / 2
LCM(26252,26270) = 689640040 / 2
LCM(26252,26270) = 344820020

Least Common Multiple (LCM) of 26252 and 26270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26252 and 26270. First we will calculate the prime factors of 26252 and 26270.

Prime Factorization of 26252

Prime factors of 26252 are 2, 6563. Prime factorization of 26252 in exponential form is:

26252 = 22 × 65631

Prime Factorization of 26270

Prime factors of 26270 are 2, 5, 37, 71. Prime factorization of 26270 in exponential form is:

26270 = 21 × 51 × 371 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 26252 and 26270.

LCM(26252,26270) = 22 × 65631 × 51 × 371 × 711
LCM(26252,26270) = 344820020