What is the Least Common Multiple of 97603 and 97609?
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 97603 and 97609 is 9526931227.
LCM(97603,97609) = 9526931227
Least Common Multiple of 97603 and 97609 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97603 and 97609, than apply into the LCM equation.
GCF(97603,97609) = 1
LCM(97603,97609) = ( 97603 × 97609) / 1
LCM(97603,97609) = 9526931227 / 1
LCM(97603,97609) = 9526931227
Least Common Multiple (LCM) of 97603 and 97609 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97603 and 97609. First we will calculate the prime factors of 97603 and 97609.
Prime Factorization of 97603
Prime factors of 97603 are 11, 19, 467. Prime factorization of 97603 in exponential form is:
97603 = 111 × 191 × 4671
Prime Factorization of 97609
Prime factors of 97609 are 97609. Prime factorization of 97609 in exponential form is:
97609 = 976091
Now multiplying the highest exponent prime factors to calculate the LCM of 97603 and 97609.
LCM(97603,97609) = 111 × 191 × 4671 × 976091
LCM(97603,97609) = 9526931227
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