What is the Least Common Multiple of 40322 and 40327?
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 40322 and 40327 is 1626065294.
LCM(40322,40327) = 1626065294
Least Common Multiple of 40322 and 40327 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40322 and 40327, than apply into the LCM equation.
GCF(40322,40327) = 1
LCM(40322,40327) = ( 40322 × 40327) / 1
LCM(40322,40327) = 1626065294 / 1
LCM(40322,40327) = 1626065294
Least Common Multiple (LCM) of 40322 and 40327 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40322 and 40327. First we will calculate the prime factors of 40322 and 40327.
Prime Factorization of 40322
Prime factors of 40322 are 2, 20161. Prime factorization of 40322 in exponential form is:
40322 = 21 × 201611
Prime Factorization of 40327
Prime factors of 40327 are 7, 823. Prime factorization of 40327 in exponential form is:
40327 = 72 × 8231
Now multiplying the highest exponent prime factors to calculate the LCM of 40322 and 40327.
LCM(40322,40327) = 21 × 201611 × 72 × 8231
LCM(40322,40327) = 1626065294
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