What is the Least Common Multiple of 97052 and 97061?
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 97052 and 97061 is 9419964172.
LCM(97052,97061) = 9419964172
Least Common Multiple of 97052 and 97061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97052 and 97061, than apply into the LCM equation.
GCF(97052,97061) = 1
LCM(97052,97061) = ( 97052 × 97061) / 1
LCM(97052,97061) = 9419964172 / 1
LCM(97052,97061) = 9419964172
Least Common Multiple (LCM) of 97052 and 97061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97052 and 97061. First we will calculate the prime factors of 97052 and 97061.
Prime Factorization of 97052
Prime factors of 97052 are 2, 19, 1277. Prime factorization of 97052 in exponential form is:
97052 = 22 × 191 × 12771
Prime Factorization of 97061
Prime factors of 97061 are 31, 101. Prime factorization of 97061 in exponential form is:
97061 = 312 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 97052 and 97061.
LCM(97052,97061) = 22 × 191 × 12771 × 312 × 1011
LCM(97052,97061) = 9419964172
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