What is the Least Common Multiple of 87482 and 87495?
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 87482 and 87495 is 7654237590.
LCM(87482,87495) = 7654237590
Least Common Multiple of 87482 and 87495 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87482 and 87495, than apply into the LCM equation.
GCF(87482,87495) = 1
LCM(87482,87495) = ( 87482 × 87495) / 1
LCM(87482,87495) = 7654237590 / 1
LCM(87482,87495) = 7654237590
Least Common Multiple (LCM) of 87482 and 87495 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87482 and 87495. First we will calculate the prime factors of 87482 and 87495.
Prime Factorization of 87482
Prime factors of 87482 are 2, 17, 31, 83. Prime factorization of 87482 in exponential form is:
87482 = 21 × 171 × 311 × 831
Prime Factorization of 87495
Prime factors of 87495 are 3, 5, 19, 307. Prime factorization of 87495 in exponential form is:
87495 = 31 × 51 × 191 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 87482 and 87495.
LCM(87482,87495) = 21 × 171 × 311 × 831 × 31 × 51 × 191 × 3071
LCM(87482,87495) = 7654237590
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