What is the Least Common Multiple of 40322 and 40333?
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 40333 is 1626307226.
LCM(40322,40333) = 1626307226
Least Common Multiple of 40322 and 40333 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 40333, than apply into the LCM equation.
GCF(40322,40333) = 1
LCM(40322,40333) = ( 40322 × 40333) / 1
LCM(40322,40333) = 1626307226 / 1
LCM(40322,40333) = 1626307226
Least Common Multiple (LCM) of 40322 and 40333 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40322 and 40333. First we will calculate the prime factors of 40322 and 40333.
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 40333
Prime factors of 40333 are 53, 761. Prime factorization of 40333 in exponential form is:
40333 = 531 × 7611
Now multiplying the highest exponent prime factors to calculate the LCM of 40322 and 40333.
LCM(40322,40333) = 21 × 201611 × 531 × 7611
LCM(40322,40333) = 1626307226
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