What is the Least Common Multiple of 56044 and 56051?
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 56044 and 56051 is 3141322244.
LCM(56044,56051) = 3141322244
Least Common Multiple of 56044 and 56051 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56044 and 56051, than apply into the LCM equation.
GCF(56044,56051) = 1
LCM(56044,56051) = ( 56044 × 56051) / 1
LCM(56044,56051) = 3141322244 / 1
LCM(56044,56051) = 3141322244
Least Common Multiple (LCM) of 56044 and 56051 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56044 and 56051. First we will calculate the prime factors of 56044 and 56051.
Prime Factorization of 56044
Prime factors of 56044 are 2, 14011. Prime factorization of 56044 in exponential form is:
56044 = 22 × 140111
Prime Factorization of 56051
Prime factors of 56051 are 23, 2437. Prime factorization of 56051 in exponential form is:
56051 = 231 × 24371
Now multiplying the highest exponent prime factors to calculate the LCM of 56044 and 56051.
LCM(56044,56051) = 22 × 140111 × 231 × 24371
LCM(56044,56051) = 3141322244
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