What is the Least Common Multiple of 97122 and 97127?
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 97122 and 97127 is 9433168494.
LCM(97122,97127) = 9433168494
Least Common Multiple of 97122 and 97127 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97122 and 97127, than apply into the LCM equation.
GCF(97122,97127) = 1
LCM(97122,97127) = ( 97122 × 97127) / 1
LCM(97122,97127) = 9433168494 / 1
LCM(97122,97127) = 9433168494
Least Common Multiple (LCM) of 97122 and 97127 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97122 and 97127. First we will calculate the prime factors of 97122 and 97127.
Prime Factorization of 97122
Prime factors of 97122 are 2, 3, 16187. Prime factorization of 97122 in exponential form is:
97122 = 21 × 31 × 161871
Prime Factorization of 97127
Prime factors of 97127 are 97127. Prime factorization of 97127 in exponential form is:
97127 = 971271
Now multiplying the highest exponent prime factors to calculate the LCM of 97122 and 97127.
LCM(97122,97127) = 21 × 31 × 161871 × 971271
LCM(97122,97127) = 9433168494
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