What is the Least Common Multiple of 88402 and 88421?
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 88402 and 88421 is 7816593242.
LCM(88402,88421) = 7816593242
Least Common Multiple of 88402 and 88421 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88402 and 88421, than apply into the LCM equation.
GCF(88402,88421) = 1
LCM(88402,88421) = ( 88402 × 88421) / 1
LCM(88402,88421) = 7816593242 / 1
LCM(88402,88421) = 7816593242
Least Common Multiple (LCM) of 88402 and 88421 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88402 and 88421. First we will calculate the prime factors of 88402 and 88421.
Prime Factorization of 88402
Prime factors of 88402 are 2, 44201. Prime factorization of 88402 in exponential form is:
88402 = 21 × 442011
Prime Factorization of 88421
Prime factors of 88421 are 29, 3049. Prime factorization of 88421 in exponential form is:
88421 = 291 × 30491
Now multiplying the highest exponent prime factors to calculate the LCM of 88402 and 88421.
LCM(88402,88421) = 21 × 442011 × 291 × 30491
LCM(88402,88421) = 7816593242
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