What is the Least Common Multiple of 59367 and 59371?
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 59367 and 59371 is 3524678157.
LCM(59367,59371) = 3524678157
Least Common Multiple of 59367 and 59371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59367 and 59371, than apply into the LCM equation.
GCF(59367,59371) = 1
LCM(59367,59371) = ( 59367 × 59371) / 1
LCM(59367,59371) = 3524678157 / 1
LCM(59367,59371) = 3524678157
Least Common Multiple (LCM) of 59367 and 59371 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59367 and 59371. First we will calculate the prime factors of 59367 and 59371.
Prime Factorization of 59367
Prime factors of 59367 are 3, 7, 11, 257. Prime factorization of 59367 in exponential form is:
59367 = 31 × 71 × 111 × 2571
Prime Factorization of 59371
Prime factors of 59371 are 13, 4567. Prime factorization of 59371 in exponential form is:
59371 = 131 × 45671
Now multiplying the highest exponent prime factors to calculate the LCM of 59367 and 59371.
LCM(59367,59371) = 31 × 71 × 111 × 2571 × 131 × 45671
LCM(59367,59371) = 3524678157
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