What is the Least Common Multiple of 26363 and 26370?
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 26363 and 26370 is 695192310.
LCM(26363,26370) = 695192310
Least Common Multiple of 26363 and 26370 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26363 and 26370, than apply into the LCM equation.
GCF(26363,26370) = 1
LCM(26363,26370) = ( 26363 × 26370) / 1
LCM(26363,26370) = 695192310 / 1
LCM(26363,26370) = 695192310
Least Common Multiple (LCM) of 26363 and 26370 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26363 and 26370. First we will calculate the prime factors of 26363 and 26370.
Prime Factorization of 26363
Prime factors of 26363 are 41, 643. Prime factorization of 26363 in exponential form is:
26363 = 411 × 6431
Prime Factorization of 26370
Prime factors of 26370 are 2, 3, 5, 293. Prime factorization of 26370 in exponential form is:
26370 = 21 × 32 × 51 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 26363 and 26370.
LCM(26363,26370) = 411 × 6431 × 21 × 32 × 51 × 2931
LCM(26363,26370) = 695192310
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