What is the Least Common Multiple of 275 and 295?
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 275 and 295 is 16225.
LCM(275,295) = 16225
Least Common Multiple of 275 and 295 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 275 and 295, than apply into the LCM equation.
GCF(275,295) = 5
LCM(275,295) = ( 275 × 295) / 5
LCM(275,295) = 81125 / 5
LCM(275,295) = 16225
Least Common Multiple (LCM) of 275 and 295 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 275 and 295. First we will calculate the prime factors of 275 and 295.
Prime Factorization of 275
Prime factors of 275 are 5, 11. Prime factorization of 275 in exponential form is:
275 = 52 × 111
Prime Factorization of 295
Prime factors of 295 are 5, 59. Prime factorization of 295 in exponential form is:
295 = 51 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 275 and 295.
LCM(275,295) = 52 × 111 × 591
LCM(275,295) = 16225
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