What is the Least Common Multiple of 47333 and 47350?
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 47333 and 47350 is 2241217550.
LCM(47333,47350) = 2241217550
Least Common Multiple of 47333 and 47350 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47333 and 47350, than apply into the LCM equation.
GCF(47333,47350) = 1
LCM(47333,47350) = ( 47333 × 47350) / 1
LCM(47333,47350) = 2241217550 / 1
LCM(47333,47350) = 2241217550
Least Common Multiple (LCM) of 47333 and 47350 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47333 and 47350. First we will calculate the prime factors of 47333 and 47350.
Prime Factorization of 47333
Prime factors of 47333 are 11, 13, 331. Prime factorization of 47333 in exponential form is:
47333 = 111 × 131 × 3311
Prime Factorization of 47350
Prime factors of 47350 are 2, 5, 947. Prime factorization of 47350 in exponential form is:
47350 = 21 × 52 × 9471
Now multiplying the highest exponent prime factors to calculate the LCM of 47333 and 47350.
LCM(47333,47350) = 111 × 131 × 3311 × 21 × 52 × 9471
LCM(47333,47350) = 2241217550
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