What is the Least Common Multiple of 56628 and 56647?
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 56628 and 56647 is 3207806316.
LCM(56628,56647) = 3207806316
Least Common Multiple of 56628 and 56647 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56628 and 56647, than apply into the LCM equation.
GCF(56628,56647) = 1
LCM(56628,56647) = ( 56628 × 56647) / 1
LCM(56628,56647) = 3207806316 / 1
LCM(56628,56647) = 3207806316
Least Common Multiple (LCM) of 56628 and 56647 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56628 and 56647. First we will calculate the prime factors of 56628 and 56647.
Prime Factorization of 56628
Prime factors of 56628 are 2, 3, 11, 13. Prime factorization of 56628 in exponential form is:
56628 = 22 × 32 × 112 × 131
Prime Factorization of 56647
Prime factors of 56647 are 37, 1531. Prime factorization of 56647 in exponential form is:
56647 = 371 × 15311
Now multiplying the highest exponent prime factors to calculate the LCM of 56628 and 56647.
LCM(56628,56647) = 22 × 32 × 112 × 131 × 371 × 15311
LCM(56628,56647) = 3207806316
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