What is the Least Common Multiple of 22106 and 22113?
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 22106 and 22113 is 69832854.
LCM(22106,22113) = 69832854
Least Common Multiple of 22106 and 22113 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22106 and 22113, than apply into the LCM equation.
GCF(22106,22113) = 7
LCM(22106,22113) = ( 22106 × 22113) / 7
LCM(22106,22113) = 488829978 / 7
LCM(22106,22113) = 69832854
Least Common Multiple (LCM) of 22106 and 22113 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22106 and 22113. First we will calculate the prime factors of 22106 and 22113.
Prime Factorization of 22106
Prime factors of 22106 are 2, 7, 1579. Prime factorization of 22106 in exponential form is:
22106 = 21 × 71 × 15791
Prime Factorization of 22113
Prime factors of 22113 are 3, 7, 13. Prime factorization of 22113 in exponential form is:
22113 = 35 × 71 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 22106 and 22113.
LCM(22106,22113) = 21 × 71 × 15791 × 35 × 131
LCM(22106,22113) = 69832854
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