What is the Least Common Multiple of 86452 and 86463?
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 86452 and 86463 is 7474899276.
LCM(86452,86463) = 7474899276
Least Common Multiple of 86452 and 86463 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86452 and 86463, than apply into the LCM equation.
GCF(86452,86463) = 1
LCM(86452,86463) = ( 86452 × 86463) / 1
LCM(86452,86463) = 7474899276 / 1
LCM(86452,86463) = 7474899276
Least Common Multiple (LCM) of 86452 and 86463 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86452 and 86463. First we will calculate the prime factors of 86452 and 86463.
Prime Factorization of 86452
Prime factors of 86452 are 2, 21613. Prime factorization of 86452 in exponential form is:
86452 = 22 × 216131
Prime Factorization of 86463
Prime factors of 86463 are 3, 13, 739. Prime factorization of 86463 in exponential form is:
86463 = 32 × 131 × 7391
Now multiplying the highest exponent prime factors to calculate the LCM of 86452 and 86463.
LCM(86452,86463) = 22 × 216131 × 32 × 131 × 7391
LCM(86452,86463) = 7474899276
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