What is the Least Common Multiple of 97162 and 97178?
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 97162 and 97178 is 4721004418.
LCM(97162,97178) = 4721004418
Least Common Multiple of 97162 and 97178 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97162 and 97178, than apply into the LCM equation.
GCF(97162,97178) = 2
LCM(97162,97178) = ( 97162 × 97178) / 2
LCM(97162,97178) = 9442008836 / 2
LCM(97162,97178) = 4721004418
Least Common Multiple (LCM) of 97162 and 97178 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97162 and 97178. First we will calculate the prime factors of 97162 and 97178.
Prime Factorization of 97162
Prime factors of 97162 are 2, 13, 37, 101. Prime factorization of 97162 in exponential form is:
97162 = 21 × 131 × 371 × 1011
Prime Factorization of 97178
Prime factors of 97178 are 2, 48589. Prime factorization of 97178 in exponential form is:
97178 = 21 × 485891
Now multiplying the highest exponent prime factors to calculate the LCM of 97162 and 97178.
LCM(97162,97178) = 21 × 131 × 371 × 1011 × 485891
LCM(97162,97178) = 4721004418
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