What is the Least Common Multiple of 54532 and 54538?
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 54532 and 54538 is 1487033108.
LCM(54532,54538) = 1487033108
Least Common Multiple of 54532 and 54538 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54532 and 54538, than apply into the LCM equation.
GCF(54532,54538) = 2
LCM(54532,54538) = ( 54532 × 54538) / 2
LCM(54532,54538) = 2974066216 / 2
LCM(54532,54538) = 1487033108
Least Common Multiple (LCM) of 54532 and 54538 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54532 and 54538. First we will calculate the prime factors of 54532 and 54538.
Prime Factorization of 54532
Prime factors of 54532 are 2, 13633. Prime factorization of 54532 in exponential form is:
54532 = 22 × 136331
Prime Factorization of 54538
Prime factors of 54538 are 2, 11, 37, 67. Prime factorization of 54538 in exponential form is:
54538 = 21 × 111 × 371 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 54532 and 54538.
LCM(54532,54538) = 22 × 136331 × 111 × 371 × 671
LCM(54532,54538) = 1487033108
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