What is the Least Common Multiple of 70812 and 70826?
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 70812 and 70826 is 358237908.
LCM(70812,70826) = 358237908
Least Common Multiple of 70812 and 70826 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70812 and 70826, than apply into the LCM equation.
GCF(70812,70826) = 14
LCM(70812,70826) = ( 70812 × 70826) / 14
LCM(70812,70826) = 5015330712 / 14
LCM(70812,70826) = 358237908
Least Common Multiple (LCM) of 70812 and 70826 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70812 and 70826. First we will calculate the prime factors of 70812 and 70826.
Prime Factorization of 70812
Prime factors of 70812 are 2, 3, 7, 281. Prime factorization of 70812 in exponential form is:
70812 = 22 × 32 × 71 × 2811
Prime Factorization of 70826
Prime factors of 70826 are 2, 7, 5059. Prime factorization of 70826 in exponential form is:
70826 = 21 × 71 × 50591
Now multiplying the highest exponent prime factors to calculate the LCM of 70812 and 70826.
LCM(70812,70826) = 22 × 32 × 71 × 2811 × 50591
LCM(70812,70826) = 358237908
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