What is the Least Common Multiple of 44444 and 44463?
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 44444 and 44463 is 1976113572.
LCM(44444,44463) = 1976113572
Least Common Multiple of 44444 and 44463 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44444 and 44463, than apply into the LCM equation.
GCF(44444,44463) = 1
LCM(44444,44463) = ( 44444 × 44463) / 1
LCM(44444,44463) = 1976113572 / 1
LCM(44444,44463) = 1976113572
Least Common Multiple (LCM) of 44444 and 44463 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44444 and 44463. First we will calculate the prime factors of 44444 and 44463.
Prime Factorization of 44444
Prime factors of 44444 are 2, 41, 271. Prime factorization of 44444 in exponential form is:
44444 = 22 × 411 × 2711
Prime Factorization of 44463
Prime factors of 44463 are 3, 14821. Prime factorization of 44463 in exponential form is:
44463 = 31 × 148211
Now multiplying the highest exponent prime factors to calculate the LCM of 44444 and 44463.
LCM(44444,44463) = 22 × 411 × 2711 × 31 × 148211
LCM(44444,44463) = 1976113572
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