What is the Least Common Multiple of 4453 and 4467?
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 4453 and 4467 is 19891551.
LCM(4453,4467) = 19891551
Least Common Multiple of 4453 and 4467 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4453 and 4467, than apply into the LCM equation.
GCF(4453,4467) = 1
LCM(4453,4467) = ( 4453 × 4467) / 1
LCM(4453,4467) = 19891551 / 1
LCM(4453,4467) = 19891551
Least Common Multiple (LCM) of 4453 and 4467 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4453 and 4467. First we will calculate the prime factors of 4453 and 4467.
Prime Factorization of 4453
Prime factors of 4453 are 61, 73. Prime factorization of 4453 in exponential form is:
4453 = 611 × 731
Prime Factorization of 4467
Prime factors of 4467 are 3, 1489. Prime factorization of 4467 in exponential form is:
4467 = 31 × 14891
Now multiplying the highest exponent prime factors to calculate the LCM of 4453 and 4467.
LCM(4453,4467) = 611 × 731 × 31 × 14891
LCM(4453,4467) = 19891551
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