What is the Least Common Multiple of 79637 and 79643?
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 79637 and 79643 is 6342529591.
LCM(79637,79643) = 6342529591
Least Common Multiple of 79637 and 79643 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79637 and 79643, than apply into the LCM equation.
GCF(79637,79643) = 1
LCM(79637,79643) = ( 79637 × 79643) / 1
LCM(79637,79643) = 6342529591 / 1
LCM(79637,79643) = 6342529591
Least Common Multiple (LCM) of 79637 and 79643 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79637 and 79643. First we will calculate the prime factors of 79637 and 79643.
Prime Factorization of 79637
Prime factors of 79637 are 97, 821. Prime factorization of 79637 in exponential form is:
79637 = 971 × 8211
Prime Factorization of 79643
Prime factors of 79643 are 73, 1091. Prime factorization of 79643 in exponential form is:
79643 = 731 × 10911
Now multiplying the highest exponent prime factors to calculate the LCM of 79637 and 79643.
LCM(79637,79643) = 971 × 8211 × 731 × 10911
LCM(79637,79643) = 6342529591
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