What is the Least Common Multiple of 55275 and 55295?
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 55275 and 55295 is 611286225.
LCM(55275,55295) = 611286225
Least Common Multiple of 55275 and 55295 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55275 and 55295, than apply into the LCM equation.
GCF(55275,55295) = 5
LCM(55275,55295) = ( 55275 × 55295) / 5
LCM(55275,55295) = 3056431125 / 5
LCM(55275,55295) = 611286225
Least Common Multiple (LCM) of 55275 and 55295 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55275 and 55295. First we will calculate the prime factors of 55275 and 55295.
Prime Factorization of 55275
Prime factors of 55275 are 3, 5, 11, 67. Prime factorization of 55275 in exponential form is:
55275 = 31 × 52 × 111 × 671
Prime Factorization of 55295
Prime factors of 55295 are 5, 11059. Prime factorization of 55295 in exponential form is:
55295 = 51 × 110591
Now multiplying the highest exponent prime factors to calculate the LCM of 55275 and 55295.
LCM(55275,55295) = 31 × 52 × 111 × 671 × 110591
LCM(55275,55295) = 611286225
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