What is the Least Common Multiple of 88789 and 88809?
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 88789 and 88809 is 7885262301.
LCM(88789,88809) = 7885262301
Least Common Multiple of 88789 and 88809 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88789 and 88809, than apply into the LCM equation.
GCF(88789,88809) = 1
LCM(88789,88809) = ( 88789 × 88809) / 1
LCM(88789,88809) = 7885262301 / 1
LCM(88789,88809) = 7885262301
Least Common Multiple (LCM) of 88789 and 88809 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88789 and 88809. First we will calculate the prime factors of 88789 and 88809.
Prime Factorization of 88789
Prime factors of 88789 are 88789. Prime factorization of 88789 in exponential form is:
88789 = 887891
Prime Factorization of 88809
Prime factors of 88809 are 3, 7, 4229. Prime factorization of 88809 in exponential form is:
88809 = 31 × 71 × 42291
Now multiplying the highest exponent prime factors to calculate the LCM of 88789 and 88809.
LCM(88789,88809) = 887891 × 31 × 71 × 42291
LCM(88789,88809) = 7885262301
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