What is the Least Common Multiple of 71090 and 71102?
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 71090 and 71102 is 2527320590.
LCM(71090,71102) = 2527320590
Least Common Multiple of 71090 and 71102 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71090 and 71102, than apply into the LCM equation.
GCF(71090,71102) = 2
LCM(71090,71102) = ( 71090 × 71102) / 2
LCM(71090,71102) = 5054641180 / 2
LCM(71090,71102) = 2527320590
Least Common Multiple (LCM) of 71090 and 71102 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71090 and 71102. First we will calculate the prime factors of 71090 and 71102.
Prime Factorization of 71090
Prime factors of 71090 are 2, 5, 7109. Prime factorization of 71090 in exponential form is:
71090 = 21 × 51 × 71091
Prime Factorization of 71102
Prime factors of 71102 are 2, 73, 487. Prime factorization of 71102 in exponential form is:
71102 = 21 × 731 × 4871
Now multiplying the highest exponent prime factors to calculate the LCM of 71090 and 71102.
LCM(71090,71102) = 21 × 51 × 71091 × 731 × 4871
LCM(71090,71102) = 2527320590
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