What is the Least Common Multiple of 44231 and 44236?
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 44231 and 44236 is 1956602516.
LCM(44231,44236) = 1956602516
Least Common Multiple of 44231 and 44236 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44231 and 44236, than apply into the LCM equation.
GCF(44231,44236) = 1
LCM(44231,44236) = ( 44231 × 44236) / 1
LCM(44231,44236) = 1956602516 / 1
LCM(44231,44236) = 1956602516
Least Common Multiple (LCM) of 44231 and 44236 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44231 and 44236. First we will calculate the prime factors of 44231 and 44236.
Prime Factorization of 44231
Prime factors of 44231 are 11, 4021. Prime factorization of 44231 in exponential form is:
44231 = 111 × 40211
Prime Factorization of 44236
Prime factors of 44236 are 2, 11059. Prime factorization of 44236 in exponential form is:
44236 = 22 × 110591
Now multiplying the highest exponent prime factors to calculate the LCM of 44231 and 44236.
LCM(44231,44236) = 111 × 40211 × 22 × 110591
LCM(44231,44236) = 1956602516
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