What is the Least Common Multiple of 44711 and 44730?
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 44711 and 44730 is 1999923030.
LCM(44711,44730) = 1999923030
Least Common Multiple of 44711 and 44730 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44711 and 44730, than apply into the LCM equation.
GCF(44711,44730) = 1
LCM(44711,44730) = ( 44711 × 44730) / 1
LCM(44711,44730) = 1999923030 / 1
LCM(44711,44730) = 1999923030
Least Common Multiple (LCM) of 44711 and 44730 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44711 and 44730. First we will calculate the prime factors of 44711 and 44730.
Prime Factorization of 44711
Prime factors of 44711 are 44711. Prime factorization of 44711 in exponential form is:
44711 = 447111
Prime Factorization of 44730
Prime factors of 44730 are 2, 3, 5, 7, 71. Prime factorization of 44730 in exponential form is:
44730 = 21 × 32 × 51 × 71 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 44711 and 44730.
LCM(44711,44730) = 447111 × 21 × 32 × 51 × 71 × 711
LCM(44711,44730) = 1999923030
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