What is the Least Common Multiple of 22679 and 22698?
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 22679 and 22698 is 514767942.
LCM(22679,22698) = 514767942
Least Common Multiple of 22679 and 22698 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22679 and 22698, than apply into the LCM equation.
GCF(22679,22698) = 1
LCM(22679,22698) = ( 22679 × 22698) / 1
LCM(22679,22698) = 514767942 / 1
LCM(22679,22698) = 514767942
Least Common Multiple (LCM) of 22679 and 22698 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22679 and 22698. First we will calculate the prime factors of 22679 and 22698.
Prime Factorization of 22679
Prime factors of 22679 are 22679. Prime factorization of 22679 in exponential form is:
22679 = 226791
Prime Factorization of 22698
Prime factors of 22698 are 2, 3, 13, 97. Prime factorization of 22698 in exponential form is:
22698 = 21 × 32 × 131 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 22679 and 22698.
LCM(22679,22698) = 226791 × 21 × 32 × 131 × 971
LCM(22679,22698) = 514767942
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