What is the Least Common Multiple of 70043 and 70062?
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 70043 and 70062 is 4907352666.
LCM(70043,70062) = 4907352666
Least Common Multiple of 70043 and 70062 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70043 and 70062, than apply into the LCM equation.
GCF(70043,70062) = 1
LCM(70043,70062) = ( 70043 × 70062) / 1
LCM(70043,70062) = 4907352666 / 1
LCM(70043,70062) = 4907352666
Least Common Multiple (LCM) of 70043 and 70062 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70043 and 70062. First we will calculate the prime factors of 70043 and 70062.
Prime Factorization of 70043
Prime factors of 70043 are 89, 787. Prime factorization of 70043 in exponential form is:
70043 = 891 × 7871
Prime Factorization of 70062
Prime factors of 70062 are 2, 3, 11677. Prime factorization of 70062 in exponential form is:
70062 = 21 × 31 × 116771
Now multiplying the highest exponent prime factors to calculate the LCM of 70043 and 70062.
LCM(70043,70062) = 891 × 7871 × 21 × 31 × 116771
LCM(70043,70062) = 4907352666
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