What is the Least Common Multiple of 47355 and 47360?
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 47355 and 47360 is 448546560.
LCM(47355,47360) = 448546560
Least Common Multiple of 47355 and 47360 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47355 and 47360, than apply into the LCM equation.
GCF(47355,47360) = 5
LCM(47355,47360) = ( 47355 × 47360) / 5
LCM(47355,47360) = 2242732800 / 5
LCM(47355,47360) = 448546560
Least Common Multiple (LCM) of 47355 and 47360 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47355 and 47360. First we will calculate the prime factors of 47355 and 47360.
Prime Factorization of 47355
Prime factors of 47355 are 3, 5, 7, 11, 41. Prime factorization of 47355 in exponential form is:
47355 = 31 × 51 × 71 × 111 × 411
Prime Factorization of 47360
Prime factors of 47360 are 2, 5, 37. Prime factorization of 47360 in exponential form is:
47360 = 28 × 51 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 47355 and 47360.
LCM(47355,47360) = 31 × 51 × 71 × 111 × 411 × 28 × 371
LCM(47355,47360) = 448546560
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