What is the Least Common Multiple of 7504 and 7511?
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 7504 and 7511 is 8051792.
LCM(7504,7511) = 8051792
Least Common Multiple of 7504 and 7511 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7504 and 7511, than apply into the LCM equation.
GCF(7504,7511) = 7
LCM(7504,7511) = ( 7504 × 7511) / 7
LCM(7504,7511) = 56362544 / 7
LCM(7504,7511) = 8051792
Least Common Multiple (LCM) of 7504 and 7511 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7504 and 7511. First we will calculate the prime factors of 7504 and 7511.
Prime Factorization of 7504
Prime factors of 7504 are 2, 7, 67. Prime factorization of 7504 in exponential form is:
7504 = 24 × 71 × 671
Prime Factorization of 7511
Prime factors of 7511 are 7, 29, 37. Prime factorization of 7511 in exponential form is:
7511 = 71 × 291 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 7504 and 7511.
LCM(7504,7511) = 24 × 71 × 671 × 291 × 371
LCM(7504,7511) = 8051792
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