What is the Least Common Multiple of 55275 and 55285?
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 55285 is 611175675.
LCM(55275,55285) = 611175675
Least Common Multiple of 55275 and 55285 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 55285, than apply into the LCM equation.
GCF(55275,55285) = 5
LCM(55275,55285) = ( 55275 × 55285) / 5
LCM(55275,55285) = 3055878375 / 5
LCM(55275,55285) = 611175675
Least Common Multiple (LCM) of 55275 and 55285 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55275 and 55285. First we will calculate the prime factors of 55275 and 55285.
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 55285
Prime factors of 55285 are 5, 11057. Prime factorization of 55285 in exponential form is:
55285 = 51 × 110571
Now multiplying the highest exponent prime factors to calculate the LCM of 55275 and 55285.
LCM(55275,55285) = 31 × 52 × 111 × 671 × 110571
LCM(55275,55285) = 611175675
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