What is the Least Common Multiple of 42808 and 42815?
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 42808 and 42815 is 1832824520.
LCM(42808,42815) = 1832824520
Least Common Multiple of 42808 and 42815 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42808 and 42815, than apply into the LCM equation.
GCF(42808,42815) = 1
LCM(42808,42815) = ( 42808 × 42815) / 1
LCM(42808,42815) = 1832824520 / 1
LCM(42808,42815) = 1832824520
Least Common Multiple (LCM) of 42808 and 42815 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42808 and 42815. First we will calculate the prime factors of 42808 and 42815.
Prime Factorization of 42808
Prime factors of 42808 are 2, 5351. Prime factorization of 42808 in exponential form is:
42808 = 23 × 53511
Prime Factorization of 42815
Prime factors of 42815 are 5, 8563. Prime factorization of 42815 in exponential form is:
42815 = 51 × 85631
Now multiplying the highest exponent prime factors to calculate the LCM of 42808 and 42815.
LCM(42808,42815) = 23 × 53511 × 51 × 85631
LCM(42808,42815) = 1832824520
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