What is the Least Common Multiple of 4411 and 4431?
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 4411 and 4431 is 19545141.
LCM(4411,4431) = 19545141
Least Common Multiple of 4411 and 4431 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4411 and 4431, than apply into the LCM equation.
GCF(4411,4431) = 1
LCM(4411,4431) = ( 4411 × 4431) / 1
LCM(4411,4431) = 19545141 / 1
LCM(4411,4431) = 19545141
Least Common Multiple (LCM) of 4411 and 4431 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4411 and 4431. First we will calculate the prime factors of 4411 and 4431.
Prime Factorization of 4411
Prime factors of 4411 are 11, 401. Prime factorization of 4411 in exponential form is:
4411 = 111 × 4011
Prime Factorization of 4431
Prime factors of 4431 are 3, 7, 211. Prime factorization of 4431 in exponential form is:
4431 = 31 × 71 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 4411 and 4431.
LCM(4411,4431) = 111 × 4011 × 31 × 71 × 2111
LCM(4411,4431) = 19545141
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