What is the Least Common Multiple of 644 and 654?
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 644 and 654 is 210588.
LCM(644,654) = 210588
Least Common Multiple of 644 and 654 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 644 and 654, than apply into the LCM equation.
GCF(644,654) = 2
LCM(644,654) = ( 644 × 654) / 2
LCM(644,654) = 421176 / 2
LCM(644,654) = 210588
Least Common Multiple (LCM) of 644 and 654 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 644 and 654. First we will calculate the prime factors of 644 and 654.
Prime Factorization of 644
Prime factors of 644 are 2, 7, 23. Prime factorization of 644 in exponential form is:
644 = 22 × 71 × 231
Prime Factorization of 654
Prime factors of 654 are 2, 3, 109. Prime factorization of 654 in exponential form is:
654 = 21 × 31 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 644 and 654.
LCM(644,654) = 22 × 71 × 231 × 31 × 1091
LCM(644,654) = 210588
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