What is the Least Common Multiple of 39362 and 39373?
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 39362 and 39373 is 1549800026.
LCM(39362,39373) = 1549800026
Least Common Multiple of 39362 and 39373 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39362 and 39373, than apply into the LCM equation.
GCF(39362,39373) = 1
LCM(39362,39373) = ( 39362 × 39373) / 1
LCM(39362,39373) = 1549800026 / 1
LCM(39362,39373) = 1549800026
Least Common Multiple (LCM) of 39362 and 39373 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39362 and 39373. First we will calculate the prime factors of 39362 and 39373.
Prime Factorization of 39362
Prime factors of 39362 are 2, 19681. Prime factorization of 39362 in exponential form is:
39362 = 21 × 196811
Prime Factorization of 39373
Prime factors of 39373 are 39373. Prime factorization of 39373 in exponential form is:
39373 = 393731
Now multiplying the highest exponent prime factors to calculate the LCM of 39362 and 39373.
LCM(39362,39373) = 21 × 196811 × 393731
LCM(39362,39373) = 1549800026
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