What is the Least Common Multiple of 97918 and 97926?
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 97918 and 97926 is 4794359034.
LCM(97918,97926) = 4794359034
Least Common Multiple of 97918 and 97926 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97918 and 97926, than apply into the LCM equation.
GCF(97918,97926) = 2
LCM(97918,97926) = ( 97918 × 97926) / 2
LCM(97918,97926) = 9588718068 / 2
LCM(97918,97926) = 4794359034
Least Common Multiple (LCM) of 97918 and 97926 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97918 and 97926. First we will calculate the prime factors of 97918 and 97926.
Prime Factorization of 97918
Prime factors of 97918 are 2, 173, 283. Prime factorization of 97918 in exponential form is:
97918 = 21 × 1731 × 2831
Prime Factorization of 97926
Prime factors of 97926 are 2, 3, 19, 859. Prime factorization of 97926 in exponential form is:
97926 = 21 × 31 × 191 × 8591
Now multiplying the highest exponent prime factors to calculate the LCM of 97918 and 97926.
LCM(97918,97926) = 21 × 1731 × 2831 × 31 × 191 × 8591
LCM(97918,97926) = 4794359034
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