What is the Least Common Multiple of 97444 and 97448?
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 97444 and 97448 is 2373930728.
LCM(97444,97448) = 2373930728
Least Common Multiple of 97444 and 97448 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97444 and 97448, than apply into the LCM equation.
GCF(97444,97448) = 4
LCM(97444,97448) = ( 97444 × 97448) / 4
LCM(97444,97448) = 9495722912 / 4
LCM(97444,97448) = 2373930728
Least Common Multiple (LCM) of 97444 and 97448 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97444 and 97448. First we will calculate the prime factors of 97444 and 97448.
Prime Factorization of 97444
Prime factors of 97444 are 2, 17, 1433. Prime factorization of 97444 in exponential form is:
97444 = 22 × 171 × 14331
Prime Factorization of 97448
Prime factors of 97448 are 2, 13, 937. Prime factorization of 97448 in exponential form is:
97448 = 23 × 131 × 9371
Now multiplying the highest exponent prime factors to calculate the LCM of 97444 and 97448.
LCM(97444,97448) = 23 × 171 × 14331 × 131 × 9371
LCM(97444,97448) = 2373930728
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