What is the Least Common Multiple of 86022 and 86042?
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 86022 and 86042 is 3700752462.
LCM(86022,86042) = 3700752462
Least Common Multiple of 86022 and 86042 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86022 and 86042, than apply into the LCM equation.
GCF(86022,86042) = 2
LCM(86022,86042) = ( 86022 × 86042) / 2
LCM(86022,86042) = 7401504924 / 2
LCM(86022,86042) = 3700752462
Least Common Multiple (LCM) of 86022 and 86042 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86022 and 86042. First we will calculate the prime factors of 86022 and 86042.
Prime Factorization of 86022
Prime factors of 86022 are 2, 3, 59. Prime factorization of 86022 in exponential form is:
86022 = 21 × 36 × 591
Prime Factorization of 86042
Prime factors of 86042 are 2, 11, 3911. Prime factorization of 86042 in exponential form is:
86042 = 21 × 111 × 39111
Now multiplying the highest exponent prime factors to calculate the LCM of 86022 and 86042.
LCM(86022,86042) = 21 × 36 × 591 × 111 × 39111
LCM(86022,86042) = 3700752462
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