What is the Least Common Multiple of 97237 and 97256?
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 97237 and 97256 is 9456881672.
LCM(97237,97256) = 9456881672
Least Common Multiple of 97237 and 97256 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97237 and 97256, than apply into the LCM equation.
GCF(97237,97256) = 1
LCM(97237,97256) = ( 97237 × 97256) / 1
LCM(97237,97256) = 9456881672 / 1
LCM(97237,97256) = 9456881672
Least Common Multiple (LCM) of 97237 and 97256 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97237 and 97256. First we will calculate the prime factors of 97237 and 97256.
Prime Factorization of 97237
Prime factors of 97237 are 7, 29, 479. Prime factorization of 97237 in exponential form is:
97237 = 71 × 291 × 4791
Prime Factorization of 97256
Prime factors of 97256 are 2, 12157. Prime factorization of 97256 in exponential form is:
97256 = 23 × 121571
Now multiplying the highest exponent prime factors to calculate the LCM of 97237 and 97256.
LCM(97237,97256) = 71 × 291 × 4791 × 23 × 121571
LCM(97237,97256) = 9456881672
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