What is the Least Common Multiple of 4418 and 4437?
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 4418 and 4437 is 19602666.
LCM(4418,4437) = 19602666
Least Common Multiple of 4418 and 4437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4418 and 4437, than apply into the LCM equation.
GCF(4418,4437) = 1
LCM(4418,4437) = ( 4418 × 4437) / 1
LCM(4418,4437) = 19602666 / 1
LCM(4418,4437) = 19602666
Least Common Multiple (LCM) of 4418 and 4437 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4418 and 4437. First we will calculate the prime factors of 4418 and 4437.
Prime Factorization of 4418
Prime factors of 4418 are 2, 47. Prime factorization of 4418 in exponential form is:
4418 = 21 × 472
Prime Factorization of 4437
Prime factors of 4437 are 3, 17, 29. Prime factorization of 4437 in exponential form is:
4437 = 32 × 171 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 4418 and 4437.
LCM(4418,4437) = 21 × 472 × 32 × 171 × 291
LCM(4418,4437) = 19602666
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