What is the Least Common Multiple of 36422 and 36427?
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 36422 and 36427 is 1326744194.
LCM(36422,36427) = 1326744194
Least Common Multiple of 36422 and 36427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36422 and 36427, than apply into the LCM equation.
GCF(36422,36427) = 1
LCM(36422,36427) = ( 36422 × 36427) / 1
LCM(36422,36427) = 1326744194 / 1
LCM(36422,36427) = 1326744194
Least Common Multiple (LCM) of 36422 and 36427 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36422 and 36427. First we will calculate the prime factors of 36422 and 36427.
Prime Factorization of 36422
Prime factors of 36422 are 2, 18211. Prime factorization of 36422 in exponential form is:
36422 = 21 × 182111
Prime Factorization of 36427
Prime factors of 36427 are 73, 499. Prime factorization of 36427 in exponential form is:
36427 = 731 × 4991
Now multiplying the highest exponent prime factors to calculate the LCM of 36422 and 36427.
LCM(36422,36427) = 21 × 182111 × 731 × 4991
LCM(36422,36427) = 1326744194
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