What is the Least Common Multiple of 8402 and 8407?
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 8402 and 8407 is 70635614.
LCM(8402,8407) = 70635614
Least Common Multiple of 8402 and 8407 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8402 and 8407, than apply into the LCM equation.
GCF(8402,8407) = 1
LCM(8402,8407) = ( 8402 × 8407) / 1
LCM(8402,8407) = 70635614 / 1
LCM(8402,8407) = 70635614
Least Common Multiple (LCM) of 8402 and 8407 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8402 and 8407. First we will calculate the prime factors of 8402 and 8407.
Prime Factorization of 8402
Prime factors of 8402 are 2, 4201. Prime factorization of 8402 in exponential form is:
8402 = 21 × 42011
Prime Factorization of 8407
Prime factors of 8407 are 7, 1201. Prime factorization of 8407 in exponential form is:
8407 = 71 × 12011
Now multiplying the highest exponent prime factors to calculate the LCM of 8402 and 8407.
LCM(8402,8407) = 21 × 42011 × 71 × 12011
LCM(8402,8407) = 70635614
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