What is the Least Common Multiple of 48635 and 48645?
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 48635 and 48645 is 473169915.
LCM(48635,48645) = 473169915
Least Common Multiple of 48635 and 48645 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48635 and 48645, than apply into the LCM equation.
GCF(48635,48645) = 5
LCM(48635,48645) = ( 48635 × 48645) / 5
LCM(48635,48645) = 2365849575 / 5
LCM(48635,48645) = 473169915
Least Common Multiple (LCM) of 48635 and 48645 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48635 and 48645. First we will calculate the prime factors of 48635 and 48645.
Prime Factorization of 48635
Prime factors of 48635 are 5, 71, 137. Prime factorization of 48635 in exponential form is:
48635 = 51 × 711 × 1371
Prime Factorization of 48645
Prime factors of 48645 are 3, 5, 23, 47. Prime factorization of 48645 in exponential form is:
48645 = 32 × 51 × 231 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 48635 and 48645.
LCM(48635,48645) = 51 × 711 × 1371 × 32 × 231 × 471
LCM(48635,48645) = 473169915
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