What is the Least Common Multiple of 22730 and 22741?
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 22730 and 22741 is 516902930.
LCM(22730,22741) = 516902930
Least Common Multiple of 22730 and 22741 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22730 and 22741, than apply into the LCM equation.
GCF(22730,22741) = 1
LCM(22730,22741) = ( 22730 × 22741) / 1
LCM(22730,22741) = 516902930 / 1
LCM(22730,22741) = 516902930
Least Common Multiple (LCM) of 22730 and 22741 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22730 and 22741. First we will calculate the prime factors of 22730 and 22741.
Prime Factorization of 22730
Prime factors of 22730 are 2, 5, 2273. Prime factorization of 22730 in exponential form is:
22730 = 21 × 51 × 22731
Prime Factorization of 22741
Prime factors of 22741 are 22741. Prime factorization of 22741 in exponential form is:
22741 = 227411
Now multiplying the highest exponent prime factors to calculate the LCM of 22730 and 22741.
LCM(22730,22741) = 21 × 51 × 22731 × 227411
LCM(22730,22741) = 516902930
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