What is the Least Common Multiple of 59508 and 59528?
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 59508 and 59528 is 885598056.
LCM(59508,59528) = 885598056
Least Common Multiple of 59508 and 59528 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59508 and 59528, than apply into the LCM equation.
GCF(59508,59528) = 4
LCM(59508,59528) = ( 59508 × 59528) / 4
LCM(59508,59528) = 3542392224 / 4
LCM(59508,59528) = 885598056
Least Common Multiple (LCM) of 59508 and 59528 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59508 and 59528. First we will calculate the prime factors of 59508 and 59528.
Prime Factorization of 59508
Prime factors of 59508 are 2, 3, 19, 29. Prime factorization of 59508 in exponential form is:
59508 = 22 × 33 × 191 × 291
Prime Factorization of 59528
Prime factors of 59528 are 2, 7, 1063. Prime factorization of 59528 in exponential form is:
59528 = 23 × 71 × 10631
Now multiplying the highest exponent prime factors to calculate the LCM of 59508 and 59528.
LCM(59508,59528) = 23 × 33 × 191 × 291 × 71 × 10631
LCM(59508,59528) = 885598056
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