What is the Least Common Multiple of 365 and 375?
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 365 and 375 is 27375.
LCM(365,375) = 27375
Least Common Multiple of 365 and 375 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 365 and 375, than apply into the LCM equation.
GCF(365,375) = 5
LCM(365,375) = ( 365 × 375) / 5
LCM(365,375) = 136875 / 5
LCM(365,375) = 27375
Least Common Multiple (LCM) of 365 and 375 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 365 and 375. First we will calculate the prime factors of 365 and 375.
Prime Factorization of 365
Prime factors of 365 are 5, 73. Prime factorization of 365 in exponential form is:
365 = 51 × 731
Prime Factorization of 375
Prime factors of 375 are 3, 5. Prime factorization of 375 in exponential form is:
375 = 31 × 53
Now multiplying the highest exponent prime factors to calculate the LCM of 365 and 375.
LCM(365,375) = 53 × 731 × 31
LCM(365,375) = 27375
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