What is the Least Common Multiple of 647 and 662?
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 662 is 428314.
LCM(647,662) = 428314
Least Common Multiple of 647 and 662 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 662, than apply into the LCM equation.
GCF(647,662) = 1
LCM(647,662) = ( 647 × 662) / 1
LCM(647,662) = 428314 / 1
LCM(647,662) = 428314
Least Common Multiple (LCM) of 647 and 662 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 647 and 662. First we will calculate the prime factors of 647 and 662.
Prime Factorization of 647
Prime factors of 647 are 647. Prime factorization of 647 in exponential form is:
647 = 6471
Prime Factorization of 662
Prime factors of 662 are 2, 331. Prime factorization of 662 in exponential form is:
662 = 21 × 3311
Now multiplying the highest exponent prime factors to calculate the LCM of 647 and 662.
LCM(647,662) = 6471 × 21 × 3311
LCM(647,662) = 428314
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