What is the Least Common Multiple of 22061 and 22068?
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 22061 and 22068 is 486842148.
LCM(22061,22068) = 486842148
Least Common Multiple of 22061 and 22068 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22061 and 22068, than apply into the LCM equation.
GCF(22061,22068) = 1
LCM(22061,22068) = ( 22061 × 22068) / 1
LCM(22061,22068) = 486842148 / 1
LCM(22061,22068) = 486842148
Least Common Multiple (LCM) of 22061 and 22068 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22061 and 22068. First we will calculate the prime factors of 22061 and 22068.
Prime Factorization of 22061
Prime factors of 22061 are 13, 1697. Prime factorization of 22061 in exponential form is:
22061 = 131 × 16971
Prime Factorization of 22068
Prime factors of 22068 are 2, 3, 613. Prime factorization of 22068 in exponential form is:
22068 = 22 × 32 × 6131
Now multiplying the highest exponent prime factors to calculate the LCM of 22061 and 22068.
LCM(22061,22068) = 131 × 16971 × 22 × 32 × 6131
LCM(22061,22068) = 486842148
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