What is the Least Common Multiple of 22053 and 22073?
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 22053 and 22073 is 486775869.
LCM(22053,22073) = 486775869
Least Common Multiple of 22053 and 22073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22053 and 22073, than apply into the LCM equation.
GCF(22053,22073) = 1
LCM(22053,22073) = ( 22053 × 22073) / 1
LCM(22053,22073) = 486775869 / 1
LCM(22053,22073) = 486775869
Least Common Multiple (LCM) of 22053 and 22073 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22053 and 22073. First we will calculate the prime factors of 22053 and 22073.
Prime Factorization of 22053
Prime factors of 22053 are 3, 7351. Prime factorization of 22053 in exponential form is:
22053 = 31 × 73511
Prime Factorization of 22073
Prime factors of 22073 are 22073. Prime factorization of 22073 in exponential form is:
22073 = 220731
Now multiplying the highest exponent prime factors to calculate the LCM of 22053 and 22073.
LCM(22053,22073) = 31 × 73511 × 220731
LCM(22053,22073) = 486775869
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