What is the Least Common Multiple of 22061 and 22069?
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 22069 is 486864209.
LCM(22061,22069) = 486864209
Least Common Multiple of 22061 and 22069 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 22069, than apply into the LCM equation.
GCF(22061,22069) = 1
LCM(22061,22069) = ( 22061 × 22069) / 1
LCM(22061,22069) = 486864209 / 1
LCM(22061,22069) = 486864209
Least Common Multiple (LCM) of 22061 and 22069 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22061 and 22069. First we will calculate the prime factors of 22061 and 22069.
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 22069
Prime factors of 22069 are 29, 761. Prime factorization of 22069 in exponential form is:
22069 = 291 × 7611
Now multiplying the highest exponent prime factors to calculate the LCM of 22061 and 22069.
LCM(22061,22069) = 131 × 16971 × 291 × 7611
LCM(22061,22069) = 486864209
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