What is the Least Common Multiple of 8427 and 8437?
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 8427 and 8437 is 71098599.
LCM(8427,8437) = 71098599
Least Common Multiple of 8427 and 8437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8427 and 8437, than apply into the LCM equation.
GCF(8427,8437) = 1
LCM(8427,8437) = ( 8427 × 8437) / 1
LCM(8427,8437) = 71098599 / 1
LCM(8427,8437) = 71098599
Least Common Multiple (LCM) of 8427 and 8437 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8427 and 8437. First we will calculate the prime factors of 8427 and 8437.
Prime Factorization of 8427
Prime factors of 8427 are 3, 53. Prime factorization of 8427 in exponential form is:
8427 = 31 × 532
Prime Factorization of 8437
Prime factors of 8437 are 11, 13, 59. Prime factorization of 8437 in exponential form is:
8437 = 111 × 131 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 8427 and 8437.
LCM(8427,8437) = 31 × 532 × 111 × 131 × 591
LCM(8427,8437) = 71098599
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