What is the Least Common Multiple of 59441 and 59446?
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 59441 and 59446 is 3533529686.
LCM(59441,59446) = 3533529686
Least Common Multiple of 59441 and 59446 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59441 and 59446, than apply into the LCM equation.
GCF(59441,59446) = 1
LCM(59441,59446) = ( 59441 × 59446) / 1
LCM(59441,59446) = 3533529686 / 1
LCM(59441,59446) = 3533529686
Least Common Multiple (LCM) of 59441 and 59446 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59441 and 59446. First we will calculate the prime factors of 59441 and 59446.
Prime Factorization of 59441
Prime factors of 59441 are 59441. Prime factorization of 59441 in exponential form is:
59441 = 594411
Prime Factorization of 59446
Prime factors of 59446 are 2, 29723. Prime factorization of 59446 in exponential form is:
59446 = 21 × 297231
Now multiplying the highest exponent prime factors to calculate the LCM of 59441 and 59446.
LCM(59441,59446) = 594411 × 21 × 297231
LCM(59441,59446) = 3533529686
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