What is the Least Common Multiple of 97919 and 97925?
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 97919 and 97925 is 9588718075.
LCM(97919,97925) = 9588718075
Least Common Multiple of 97919 and 97925 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97919 and 97925, than apply into the LCM equation.
GCF(97919,97925) = 1
LCM(97919,97925) = ( 97919 × 97925) / 1
LCM(97919,97925) = 9588718075 / 1
LCM(97919,97925) = 9588718075
Least Common Multiple (LCM) of 97919 and 97925 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97919 and 97925. First we will calculate the prime factors of 97919 and 97925.
Prime Factorization of 97919
Prime factors of 97919 are 97919. Prime factorization of 97919 in exponential form is:
97919 = 979191
Prime Factorization of 97925
Prime factors of 97925 are 5, 3917. Prime factorization of 97925 in exponential form is:
97925 = 52 × 39171
Now multiplying the highest exponent prime factors to calculate the LCM of 97919 and 97925.
LCM(97919,97925) = 979191 × 52 × 39171
LCM(97919,97925) = 9588718075
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