What is the Least Common Multiple of 44239 and 44246?
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 44239 and 44246 is 1957398794.
LCM(44239,44246) = 1957398794
Least Common Multiple of 44239 and 44246 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44239 and 44246, than apply into the LCM equation.
GCF(44239,44246) = 1
LCM(44239,44246) = ( 44239 × 44246) / 1
LCM(44239,44246) = 1957398794 / 1
LCM(44239,44246) = 1957398794
Least Common Multiple (LCM) of 44239 and 44246 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44239 and 44246. First we will calculate the prime factors of 44239 and 44246.
Prime Factorization of 44239
Prime factors of 44239 are 13, 41, 83. Prime factorization of 44239 in exponential form is:
44239 = 131 × 411 × 831
Prime Factorization of 44246
Prime factors of 44246 are 2, 22123. Prime factorization of 44246 in exponential form is:
44246 = 21 × 221231
Now multiplying the highest exponent prime factors to calculate the LCM of 44239 and 44246.
LCM(44239,44246) = 131 × 411 × 831 × 21 × 221231
LCM(44239,44246) = 1957398794
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