What is the Least Common Multiple of 56227 and 56244?
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 56227 and 56244 is 3162431388.
LCM(56227,56244) = 3162431388
Least Common Multiple of 56227 and 56244 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56227 and 56244, than apply into the LCM equation.
GCF(56227,56244) = 1
LCM(56227,56244) = ( 56227 × 56244) / 1
LCM(56227,56244) = 3162431388 / 1
LCM(56227,56244) = 3162431388
Least Common Multiple (LCM) of 56227 and 56244 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56227 and 56244. First we will calculate the prime factors of 56227 and 56244.
Prime Factorization of 56227
Prime factors of 56227 are 59, 953. Prime factorization of 56227 in exponential form is:
56227 = 591 × 9531
Prime Factorization of 56244
Prime factors of 56244 are 2, 3, 43, 109. Prime factorization of 56244 in exponential form is:
56244 = 22 × 31 × 431 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 56227 and 56244.
LCM(56227,56244) = 591 × 9531 × 22 × 31 × 431 × 1091
LCM(56227,56244) = 3162431388
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