What is the Least Common Multiple of 22041 and 22061?
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 22041 and 22061 is 486246501.
LCM(22041,22061) = 486246501
Least Common Multiple of 22041 and 22061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22041 and 22061, than apply into the LCM equation.
GCF(22041,22061) = 1
LCM(22041,22061) = ( 22041 × 22061) / 1
LCM(22041,22061) = 486246501 / 1
LCM(22041,22061) = 486246501
Least Common Multiple (LCM) of 22041 and 22061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22041 and 22061. First we will calculate the prime factors of 22041 and 22061.
Prime Factorization of 22041
Prime factors of 22041 are 3, 31, 79. Prime factorization of 22041 in exponential form is:
22041 = 32 × 311 × 791
Prime Factorization of 22061
Prime factors of 22061 are 13, 1697. Prime factorization of 22061 in exponential form is:
22061 = 131 × 16971
Now multiplying the highest exponent prime factors to calculate the LCM of 22041 and 22061.
LCM(22041,22061) = 32 × 311 × 791 × 131 × 16971
LCM(22041,22061) = 486246501
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