What is the Least Common Multiple of 30507 and 30525?
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 30507 and 30525 is 310408725.
LCM(30507,30525) = 310408725
Least Common Multiple of 30507 and 30525 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30507 and 30525, than apply into the LCM equation.
GCF(30507,30525) = 3
LCM(30507,30525) = ( 30507 × 30525) / 3
LCM(30507,30525) = 931226175 / 3
LCM(30507,30525) = 310408725
Least Common Multiple (LCM) of 30507 and 30525 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30507 and 30525. First we will calculate the prime factors of 30507 and 30525.
Prime Factorization of 30507
Prime factors of 30507 are 3, 10169. Prime factorization of 30507 in exponential form is:
30507 = 31 × 101691
Prime Factorization of 30525
Prime factors of 30525 are 3, 5, 11, 37. Prime factorization of 30525 in exponential form is:
30525 = 31 × 52 × 111 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 30507 and 30525.
LCM(30507,30525) = 31 × 101691 × 52 × 111 × 371
LCM(30507,30525) = 310408725
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