What is the Least Common Multiple of 56634 and 56651?
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 56634 and 56651 is 3208372734.
LCM(56634,56651) = 3208372734
Least Common Multiple of 56634 and 56651 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56634 and 56651, than apply into the LCM equation.
GCF(56634,56651) = 1
LCM(56634,56651) = ( 56634 × 56651) / 1
LCM(56634,56651) = 3208372734 / 1
LCM(56634,56651) = 3208372734
Least Common Multiple (LCM) of 56634 and 56651 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56634 and 56651. First we will calculate the prime factors of 56634 and 56651.
Prime Factorization of 56634
Prime factors of 56634 are 2, 3, 9439. Prime factorization of 56634 in exponential form is:
56634 = 21 × 31 × 94391
Prime Factorization of 56651
Prime factors of 56651 are 7, 8093. Prime factorization of 56651 in exponential form is:
56651 = 71 × 80931
Now multiplying the highest exponent prime factors to calculate the LCM of 56634 and 56651.
LCM(56634,56651) = 21 × 31 × 94391 × 71 × 80931
LCM(56634,56651) = 3208372734
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