What is the Least Common Multiple of 99422 and 99437?
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 99422 and 99437 is 9886225414.
LCM(99422,99437) = 9886225414
Least Common Multiple of 99422 and 99437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99422 and 99437, than apply into the LCM equation.
GCF(99422,99437) = 1
LCM(99422,99437) = ( 99422 × 99437) / 1
LCM(99422,99437) = 9886225414 / 1
LCM(99422,99437) = 9886225414
Least Common Multiple (LCM) of 99422 and 99437 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99422 and 99437. First we will calculate the prime factors of 99422 and 99437.
Prime Factorization of 99422
Prime factors of 99422 are 2, 49711. Prime factorization of 99422 in exponential form is:
99422 = 21 × 497111
Prime Factorization of 99437
Prime factors of 99437 are 13, 7649. Prime factorization of 99437 in exponential form is:
99437 = 131 × 76491
Now multiplying the highest exponent prime factors to calculate the LCM of 99422 and 99437.
LCM(99422,99437) = 21 × 497111 × 131 × 76491
LCM(99422,99437) = 9886225414
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