What is the Least Common Multiple of 52055 and 52059?
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 52055 and 52059 is 2709931245.
LCM(52055,52059) = 2709931245
Least Common Multiple of 52055 and 52059 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52055 and 52059, than apply into the LCM equation.
GCF(52055,52059) = 1
LCM(52055,52059) = ( 52055 × 52059) / 1
LCM(52055,52059) = 2709931245 / 1
LCM(52055,52059) = 2709931245
Least Common Multiple (LCM) of 52055 and 52059 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52055 and 52059. First we will calculate the prime factors of 52055 and 52059.
Prime Factorization of 52055
Prime factors of 52055 are 5, 29, 359. Prime factorization of 52055 in exponential form is:
52055 = 51 × 291 × 3591
Prime Factorization of 52059
Prime factors of 52059 are 3, 7, 37, 67. Prime factorization of 52059 in exponential form is:
52059 = 31 × 71 × 371 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 52055 and 52059.
LCM(52055,52059) = 51 × 291 × 3591 × 31 × 71 × 371 × 671
LCM(52055,52059) = 2709931245
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