What is the Least Common Multiple of 647 and 666?
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 647 and 666 is 430902.
LCM(647,666) = 430902
Least Common Multiple of 647 and 666 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 647 and 666, than apply into the LCM equation.
GCF(647,666) = 1
LCM(647,666) = ( 647 × 666) / 1
LCM(647,666) = 430902 / 1
LCM(647,666) = 430902
Least Common Multiple (LCM) of 647 and 666 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 647 and 666. First we will calculate the prime factors of 647 and 666.
Prime Factorization of 647
Prime factors of 647 are 647. Prime factorization of 647 in exponential form is:
647 = 6471
Prime Factorization of 666
Prime factors of 666 are 2, 3, 37. Prime factorization of 666 in exponential form is:
666 = 21 × 32 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 647 and 666.
LCM(647,666) = 6471 × 21 × 32 × 371
LCM(647,666) = 430902
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