What is the Least Common Multiple of 97477 and 97495?
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 97477 and 97495 is 9503520115.
LCM(97477,97495) = 9503520115
Least Common Multiple of 97477 and 97495 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97477 and 97495, than apply into the LCM equation.
GCF(97477,97495) = 1
LCM(97477,97495) = ( 97477 × 97495) / 1
LCM(97477,97495) = 9503520115 / 1
LCM(97477,97495) = 9503520115
Least Common Multiple (LCM) of 97477 and 97495 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97477 and 97495. First we will calculate the prime factors of 97477 and 97495.
Prime Factorization of 97477
Prime factors of 97477 are 107, 911. Prime factorization of 97477 in exponential form is:
97477 = 1071 × 9111
Prime Factorization of 97495
Prime factors of 97495 are 5, 17, 31, 37. Prime factorization of 97495 in exponential form is:
97495 = 51 × 171 × 311 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 97477 and 97495.
LCM(97477,97495) = 1071 × 9111 × 51 × 171 × 311 × 371
LCM(97477,97495) = 9503520115
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