What is the Least Common Multiple of 44473 and 44485?
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 44473 and 44485 is 1978381405.
LCM(44473,44485) = 1978381405
Least Common Multiple of 44473 and 44485 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44473 and 44485, than apply into the LCM equation.
GCF(44473,44485) = 1
LCM(44473,44485) = ( 44473 × 44485) / 1
LCM(44473,44485) = 1978381405 / 1
LCM(44473,44485) = 1978381405
Least Common Multiple (LCM) of 44473 and 44485 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44473 and 44485. First we will calculate the prime factors of 44473 and 44485.
Prime Factorization of 44473
Prime factors of 44473 are 11, 13, 311. Prime factorization of 44473 in exponential form is:
44473 = 111 × 131 × 3111
Prime Factorization of 44485
Prime factors of 44485 are 5, 7, 31, 41. Prime factorization of 44485 in exponential form is:
44485 = 51 × 71 × 311 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 44473 and 44485.
LCM(44473,44485) = 111 × 131 × 3111 × 51 × 71 × 311 × 411
LCM(44473,44485) = 1978381405
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