What is the Least Common Multiple of 4156 and 4162?
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 4156 and 4162 is 8648636.
LCM(4156,4162) = 8648636
Least Common Multiple of 4156 and 4162 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4156 and 4162, than apply into the LCM equation.
GCF(4156,4162) = 2
LCM(4156,4162) = ( 4156 × 4162) / 2
LCM(4156,4162) = 17297272 / 2
LCM(4156,4162) = 8648636
Least Common Multiple (LCM) of 4156 and 4162 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4156 and 4162. First we will calculate the prime factors of 4156 and 4162.
Prime Factorization of 4156
Prime factors of 4156 are 2, 1039. Prime factorization of 4156 in exponential form is:
4156 = 22 × 10391
Prime Factorization of 4162
Prime factors of 4162 are 2, 2081. Prime factorization of 4162 in exponential form is:
4162 = 21 × 20811
Now multiplying the highest exponent prime factors to calculate the LCM of 4156 and 4162.
LCM(4156,4162) = 22 × 10391 × 20811
LCM(4156,4162) = 8648636
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