What is the Least Common Multiple of 71007 and 71027?
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 71007 and 71027 is 5043414189.
LCM(71007,71027) = 5043414189
Least Common Multiple of 71007 and 71027 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71007 and 71027, than apply into the LCM equation.
GCF(71007,71027) = 1
LCM(71007,71027) = ( 71007 × 71027) / 1
LCM(71007,71027) = 5043414189 / 1
LCM(71007,71027) = 5043414189
Least Common Multiple (LCM) of 71007 and 71027 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71007 and 71027. First we will calculate the prime factors of 71007 and 71027.
Prime Factorization of 71007
Prime factors of 71007 are 3, 23669. Prime factorization of 71007 in exponential form is:
71007 = 31 × 236691
Prime Factorization of 71027
Prime factors of 71027 are 11, 587. Prime factorization of 71027 in exponential form is:
71027 = 112 × 5871
Now multiplying the highest exponent prime factors to calculate the LCM of 71007 and 71027.
LCM(71007,71027) = 31 × 236691 × 112 × 5871
LCM(71007,71027) = 5043414189
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