What is the Least Common Multiple of 44157 and 44162?
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 44157 and 44162 is 1950061434.
LCM(44157,44162) = 1950061434
Least Common Multiple of 44157 and 44162 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44157 and 44162, than apply into the LCM equation.
GCF(44157,44162) = 1
LCM(44157,44162) = ( 44157 × 44162) / 1
LCM(44157,44162) = 1950061434 / 1
LCM(44157,44162) = 1950061434
Least Common Multiple (LCM) of 44157 and 44162 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44157 and 44162. First we will calculate the prime factors of 44157 and 44162.
Prime Factorization of 44157
Prime factors of 44157 are 3, 41, 359. Prime factorization of 44157 in exponential form is:
44157 = 31 × 411 × 3591
Prime Factorization of 44162
Prime factors of 44162 are 2, 71, 311. Prime factorization of 44162 in exponential form is:
44162 = 21 × 711 × 3111
Now multiplying the highest exponent prime factors to calculate the LCM of 44157 and 44162.
LCM(44157,44162) = 31 × 411 × 3591 × 21 × 711 × 3111
LCM(44157,44162) = 1950061434
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