What is the Least Common Multiple of 87754 and 87763?
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 87754 and 87763 is 7701554302.
LCM(87754,87763) = 7701554302
Least Common Multiple of 87754 and 87763 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87754 and 87763, than apply into the LCM equation.
GCF(87754,87763) = 1
LCM(87754,87763) = ( 87754 × 87763) / 1
LCM(87754,87763) = 7701554302 / 1
LCM(87754,87763) = 7701554302
Least Common Multiple (LCM) of 87754 and 87763 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87754 and 87763. First we will calculate the prime factors of 87754 and 87763.
Prime Factorization of 87754
Prime factors of 87754 are 2, 17, 29, 89. Prime factorization of 87754 in exponential form is:
87754 = 21 × 171 × 291 × 891
Prime Factorization of 87763
Prime factors of 87763 are 13, 43, 157. Prime factorization of 87763 in exponential form is:
87763 = 131 × 431 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 87754 and 87763.
LCM(87754,87763) = 21 × 171 × 291 × 891 × 131 × 431 × 1571
LCM(87754,87763) = 7701554302
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