What is the Least Common Multiple of 97427 and 97432?
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 97427 and 97432 is 9492507464.
LCM(97427,97432) = 9492507464
Least Common Multiple of 97427 and 97432 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97427 and 97432, than apply into the LCM equation.
GCF(97427,97432) = 1
LCM(97427,97432) = ( 97427 × 97432) / 1
LCM(97427,97432) = 9492507464 / 1
LCM(97427,97432) = 9492507464
Least Common Multiple (LCM) of 97427 and 97432 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97427 and 97432. First we will calculate the prime factors of 97427 and 97432.
Prime Factorization of 97427
Prime factors of 97427 are 11, 17, 521. Prime factorization of 97427 in exponential form is:
97427 = 111 × 171 × 5211
Prime Factorization of 97432
Prime factors of 97432 are 2, 19, 641. Prime factorization of 97432 in exponential form is:
97432 = 23 × 191 × 6411
Now multiplying the highest exponent prime factors to calculate the LCM of 97427 and 97432.
LCM(97427,97432) = 111 × 171 × 5211 × 23 × 191 × 6411
LCM(97427,97432) = 9492507464
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