What is the Least Common Multiple of 36509 and 36516?
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 36509 and 36516 is 1333162644.
LCM(36509,36516) = 1333162644
Least Common Multiple of 36509 and 36516 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36509 and 36516, than apply into the LCM equation.
GCF(36509,36516) = 1
LCM(36509,36516) = ( 36509 × 36516) / 1
LCM(36509,36516) = 1333162644 / 1
LCM(36509,36516) = 1333162644
Least Common Multiple (LCM) of 36509 and 36516 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36509 and 36516. First we will calculate the prime factors of 36509 and 36516.
Prime Factorization of 36509
Prime factors of 36509 are 11, 3319. Prime factorization of 36509 in exponential form is:
36509 = 111 × 33191
Prime Factorization of 36516
Prime factors of 36516 are 2, 3, 17, 179. Prime factorization of 36516 in exponential form is:
36516 = 22 × 31 × 171 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 36509 and 36516.
LCM(36509,36516) = 111 × 33191 × 22 × 31 × 171 × 1791
LCM(36509,36516) = 1333162644
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