What is the Least Common Multiple of 22053 and 22067?
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 22067 is 486643551.
LCM(22053,22067) = 486643551
Least Common Multiple of 22053 and 22067 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 22067, than apply into the LCM equation.
GCF(22053,22067) = 1
LCM(22053,22067) = ( 22053 × 22067) / 1
LCM(22053,22067) = 486643551 / 1
LCM(22053,22067) = 486643551
Least Common Multiple (LCM) of 22053 and 22067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22053 and 22067. First we will calculate the prime factors of 22053 and 22067.
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 22067
Prime factors of 22067 are 22067. Prime factorization of 22067 in exponential form is:
22067 = 220671
Now multiplying the highest exponent prime factors to calculate the LCM of 22053 and 22067.
LCM(22053,22067) = 31 × 73511 × 220671
LCM(22053,22067) = 486643551
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