What is the Least Common Multiple of 97544 and 97564?
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 97544 and 97564 is 2379195704.
LCM(97544,97564) = 2379195704
Least Common Multiple of 97544 and 97564 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97544 and 97564, than apply into the LCM equation.
GCF(97544,97564) = 4
LCM(97544,97564) = ( 97544 × 97564) / 4
LCM(97544,97564) = 9516782816 / 4
LCM(97544,97564) = 2379195704
Least Common Multiple (LCM) of 97544 and 97564 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97544 and 97564. First we will calculate the prime factors of 97544 and 97564.
Prime Factorization of 97544
Prime factors of 97544 are 2, 89, 137. Prime factorization of 97544 in exponential form is:
97544 = 23 × 891 × 1371
Prime Factorization of 97564
Prime factors of 97564 are 2, 24391. Prime factorization of 97564 in exponential form is:
97564 = 22 × 243911
Now multiplying the highest exponent prime factors to calculate the LCM of 97544 and 97564.
LCM(97544,97564) = 23 × 891 × 1371 × 243911
LCM(97544,97564) = 2379195704
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