What is the Least Common Multiple of 70147 and 70162?
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 70147 and 70162 is 4921653814.
LCM(70147,70162) = 4921653814
Least Common Multiple of 70147 and 70162 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70147 and 70162, than apply into the LCM equation.
GCF(70147,70162) = 1
LCM(70147,70162) = ( 70147 × 70162) / 1
LCM(70147,70162) = 4921653814 / 1
LCM(70147,70162) = 4921653814
Least Common Multiple (LCM) of 70147 and 70162 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70147 and 70162. First we will calculate the prime factors of 70147 and 70162.
Prime Factorization of 70147
Prime factors of 70147 are 7, 11, 911. Prime factorization of 70147 in exponential form is:
70147 = 71 × 111 × 9111
Prime Factorization of 70162
Prime factors of 70162 are 2, 35081. Prime factorization of 70162 in exponential form is:
70162 = 21 × 350811
Now multiplying the highest exponent prime factors to calculate the LCM of 70147 and 70162.
LCM(70147,70162) = 71 × 111 × 9111 × 21 × 350811
LCM(70147,70162) = 4921653814
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