What is the Least Common Multiple of 59843 and 59847?
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 59843 and 59847 is 3581424021.
LCM(59843,59847) = 3581424021
Least Common Multiple of 59843 and 59847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59843 and 59847, than apply into the LCM equation.
GCF(59843,59847) = 1
LCM(59843,59847) = ( 59843 × 59847) / 1
LCM(59843,59847) = 3581424021 / 1
LCM(59843,59847) = 3581424021
Least Common Multiple (LCM) of 59843 and 59847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59843 and 59847. First we will calculate the prime factors of 59843 and 59847.
Prime Factorization of 59843
Prime factors of 59843 are 7, 83, 103. Prime factorization of 59843 in exponential form is:
59843 = 71 × 831 × 1031
Prime Factorization of 59847
Prime factors of 59847 are 3, 19949. Prime factorization of 59847 in exponential form is:
59847 = 31 × 199491
Now multiplying the highest exponent prime factors to calculate the LCM of 59843 and 59847.
LCM(59843,59847) = 71 × 831 × 1031 × 31 × 199491
LCM(59843,59847) = 3581424021
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