What is the Least Common Multiple of 7477 and 7495?
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 7477 and 7495 is 56040115.
LCM(7477,7495) = 56040115
Least Common Multiple of 7477 and 7495 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7477 and 7495, than apply into the LCM equation.
GCF(7477,7495) = 1
LCM(7477,7495) = ( 7477 × 7495) / 1
LCM(7477,7495) = 56040115 / 1
LCM(7477,7495) = 56040115
Least Common Multiple (LCM) of 7477 and 7495 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7477 and 7495. First we will calculate the prime factors of 7477 and 7495.
Prime Factorization of 7477
Prime factors of 7477 are 7477. Prime factorization of 7477 in exponential form is:
7477 = 74771
Prime Factorization of 7495
Prime factors of 7495 are 5, 1499. Prime factorization of 7495 in exponential form is:
7495 = 51 × 14991
Now multiplying the highest exponent prime factors to calculate the LCM of 7477 and 7495.
LCM(7477,7495) = 74771 × 51 × 14991
LCM(7477,7495) = 56040115
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