What is the Least Common Multiple of 628 and 644?
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 628 and 644 is 101108.
LCM(628,644) = 101108
Least Common Multiple of 628 and 644 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 628 and 644, than apply into the LCM equation.
GCF(628,644) = 4
LCM(628,644) = ( 628 × 644) / 4
LCM(628,644) = 404432 / 4
LCM(628,644) = 101108
Least Common Multiple (LCM) of 628 and 644 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 628 and 644. First we will calculate the prime factors of 628 and 644.
Prime Factorization of 628
Prime factors of 628 are 2, 157. Prime factorization of 628 in exponential form is:
628 = 22 × 1571
Prime Factorization of 644
Prime factors of 644 are 2, 7, 23. Prime factorization of 644 in exponential form is:
644 = 22 × 71 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 628 and 644.
LCM(628,644) = 22 × 1571 × 71 × 231
LCM(628,644) = 101108
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