What is the Least Common Multiple of 97067 and 97079?
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 97067 and 97079 is 9423167293.
LCM(97067,97079) = 9423167293
Least Common Multiple of 97067 and 97079 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97067 and 97079, than apply into the LCM equation.
GCF(97067,97079) = 1
LCM(97067,97079) = ( 97067 × 97079) / 1
LCM(97067,97079) = 9423167293 / 1
LCM(97067,97079) = 9423167293
Least Common Multiple (LCM) of 97067 and 97079 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97067 and 97079. First we will calculate the prime factors of 97067 and 97079.
Prime Factorization of 97067
Prime factors of 97067 are 113, 859. Prime factorization of 97067 in exponential form is:
97067 = 1131 × 8591
Prime Factorization of 97079
Prime factors of 97079 are 193, 503. Prime factorization of 97079 in exponential form is:
97079 = 1931 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 97067 and 97079.
LCM(97067,97079) = 1131 × 8591 × 1931 × 5031
LCM(97067,97079) = 9423167293
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