What is the Least Common Multiple of 52745 and 52755?
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 52745 and 52755 is 556512495.
LCM(52745,52755) = 556512495
Least Common Multiple of 52745 and 52755 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52745 and 52755, than apply into the LCM equation.
GCF(52745,52755) = 5
LCM(52745,52755) = ( 52745 × 52755) / 5
LCM(52745,52755) = 2782562475 / 5
LCM(52745,52755) = 556512495
Least Common Multiple (LCM) of 52745 and 52755 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52745 and 52755. First we will calculate the prime factors of 52745 and 52755.
Prime Factorization of 52745
Prime factors of 52745 are 5, 7, 11, 137. Prime factorization of 52745 in exponential form is:
52745 = 51 × 71 × 111 × 1371
Prime Factorization of 52755
Prime factors of 52755 are 3, 5, 3517. Prime factorization of 52755 in exponential form is:
52755 = 31 × 51 × 35171
Now multiplying the highest exponent prime factors to calculate the LCM of 52745 and 52755.
LCM(52745,52755) = 51 × 71 × 111 × 1371 × 31 × 35171
LCM(52745,52755) = 556512495
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