What is the Least Common Multiple of 19515 and 19520?
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 19515 and 19520 is 76186560.
LCM(19515,19520) = 76186560
Least Common Multiple of 19515 and 19520 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19515 and 19520, than apply into the LCM equation.
GCF(19515,19520) = 5
LCM(19515,19520) = ( 19515 × 19520) / 5
LCM(19515,19520) = 380932800 / 5
LCM(19515,19520) = 76186560
Least Common Multiple (LCM) of 19515 and 19520 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19515 and 19520. First we will calculate the prime factors of 19515 and 19520.
Prime Factorization of 19515
Prime factors of 19515 are 3, 5, 1301. Prime factorization of 19515 in exponential form is:
19515 = 31 × 51 × 13011
Prime Factorization of 19520
Prime factors of 19520 are 2, 5, 61. Prime factorization of 19520 in exponential form is:
19520 = 26 × 51 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 19515 and 19520.
LCM(19515,19520) = 31 × 51 × 13011 × 26 × 611
LCM(19515,19520) = 76186560
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