What is the Least Common Multiple of 77699 and 77719?
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 77699 and 77719 is 6038688581.
LCM(77699,77719) = 6038688581
Least Common Multiple of 77699 and 77719 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77699 and 77719, than apply into the LCM equation.
GCF(77699,77719) = 1
LCM(77699,77719) = ( 77699 × 77719) / 1
LCM(77699,77719) = 6038688581 / 1
LCM(77699,77719) = 6038688581
Least Common Multiple (LCM) of 77699 and 77719 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77699 and 77719. First we will calculate the prime factors of 77699 and 77719.
Prime Factorization of 77699
Prime factors of 77699 are 77699. Prime factorization of 77699 in exponential form is:
77699 = 776991
Prime Factorization of 77719
Prime factors of 77719 are 77719. Prime factorization of 77719 in exponential form is:
77719 = 777191
Now multiplying the highest exponent prime factors to calculate the LCM of 77699 and 77719.
LCM(77699,77719) = 776991 × 777191
LCM(77699,77719) = 6038688581
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