What is the Least Common Multiple of 68567 and 68579?
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 68567 and 68579 is 4702256293.
LCM(68567,68579) = 4702256293
Least Common Multiple of 68567 and 68579 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68567 and 68579, than apply into the LCM equation.
GCF(68567,68579) = 1
LCM(68567,68579) = ( 68567 × 68579) / 1
LCM(68567,68579) = 4702256293 / 1
LCM(68567,68579) = 4702256293
Least Common Multiple (LCM) of 68567 and 68579 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68567 and 68579. First we will calculate the prime factors of 68567 and 68579.
Prime Factorization of 68567
Prime factors of 68567 are 68567. Prime factorization of 68567 in exponential form is:
68567 = 685671
Prime Factorization of 68579
Prime factors of 68579 are 7, 97, 101. Prime factorization of 68579 in exponential form is:
68579 = 71 × 971 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 68567 and 68579.
LCM(68567,68579) = 685671 × 71 × 971 × 1011
LCM(68567,68579) = 4702256293
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