What is the Least Common Multiple of 71602 and 71619?
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 71602 and 71619 is 5128063638.
LCM(71602,71619) = 5128063638
Least Common Multiple of 71602 and 71619 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71602 and 71619, than apply into the LCM equation.
GCF(71602,71619) = 1
LCM(71602,71619) = ( 71602 × 71619) / 1
LCM(71602,71619) = 5128063638 / 1
LCM(71602,71619) = 5128063638
Least Common Multiple (LCM) of 71602 and 71619 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71602 and 71619. First we will calculate the prime factors of 71602 and 71619.
Prime Factorization of 71602
Prime factors of 71602 are 2, 35801. Prime factorization of 71602 in exponential form is:
71602 = 21 × 358011
Prime Factorization of 71619
Prime factors of 71619 are 3, 23873. Prime factorization of 71619 in exponential form is:
71619 = 31 × 238731
Now multiplying the highest exponent prime factors to calculate the LCM of 71602 and 71619.
LCM(71602,71619) = 21 × 358011 × 31 × 238731
LCM(71602,71619) = 5128063638
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