What is the Least Common Multiple of 79887 and 79897?
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 79887 and 79897 is 6382731639.
LCM(79887,79897) = 6382731639
Least Common Multiple of 79887 and 79897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79887 and 79897, than apply into the LCM equation.
GCF(79887,79897) = 1
LCM(79887,79897) = ( 79887 × 79897) / 1
LCM(79887,79897) = 6382731639 / 1
LCM(79887,79897) = 6382731639
Least Common Multiple (LCM) of 79887 and 79897 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79887 and 79897. First we will calculate the prime factors of 79887 and 79897.
Prime Factorization of 79887
Prime factors of 79887 are 3, 31, 859. Prime factorization of 79887 in exponential form is:
79887 = 31 × 311 × 8591
Prime Factorization of 79897
Prime factors of 79897 are 109, 733. Prime factorization of 79897 in exponential form is:
79897 = 1091 × 7331
Now multiplying the highest exponent prime factors to calculate the LCM of 79887 and 79897.
LCM(79887,79897) = 31 × 311 × 8591 × 1091 × 7331
LCM(79887,79897) = 6382731639
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