What is the Least Common Multiple of 16520 and 16528?
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 16520 and 16528 is 34130320.
LCM(16520,16528) = 34130320
Least Common Multiple of 16520 and 16528 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16520 and 16528, than apply into the LCM equation.
GCF(16520,16528) = 8
LCM(16520,16528) = ( 16520 × 16528) / 8
LCM(16520,16528) = 273042560 / 8
LCM(16520,16528) = 34130320
Least Common Multiple (LCM) of 16520 and 16528 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16520 and 16528. First we will calculate the prime factors of 16520 and 16528.
Prime Factorization of 16520
Prime factors of 16520 are 2, 5, 7, 59. Prime factorization of 16520 in exponential form is:
16520 = 23 × 51 × 71 × 591
Prime Factorization of 16528
Prime factors of 16528 are 2, 1033. Prime factorization of 16528 in exponential form is:
16528 = 24 × 10331
Now multiplying the highest exponent prime factors to calculate the LCM of 16520 and 16528.
LCM(16520,16528) = 24 × 51 × 71 × 591 × 10331
LCM(16520,16528) = 34130320
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