What is the Least Common Multiple of 22232 and 22251?
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 22232 and 22251 is 494684232.
LCM(22232,22251) = 494684232
Least Common Multiple of 22232 and 22251 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22232 and 22251, than apply into the LCM equation.
GCF(22232,22251) = 1
LCM(22232,22251) = ( 22232 × 22251) / 1
LCM(22232,22251) = 494684232 / 1
LCM(22232,22251) = 494684232
Least Common Multiple (LCM) of 22232 and 22251 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22232 and 22251. First we will calculate the prime factors of 22232 and 22251.
Prime Factorization of 22232
Prime factors of 22232 are 2, 7, 397. Prime factorization of 22232 in exponential form is:
22232 = 23 × 71 × 3971
Prime Factorization of 22251
Prime factors of 22251 are 3, 7417. Prime factorization of 22251 in exponential form is:
22251 = 31 × 74171
Now multiplying the highest exponent prime factors to calculate the LCM of 22232 and 22251.
LCM(22232,22251) = 23 × 71 × 3971 × 31 × 74171
LCM(22232,22251) = 494684232
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