What is the Least Common Multiple of 644 and 652?
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 652 is 104972.
LCM(644,652) = 104972
Least Common Multiple of 644 and 652 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 652, than apply into the LCM equation.
GCF(644,652) = 4
LCM(644,652) = ( 644 × 652) / 4
LCM(644,652) = 419888 / 4
LCM(644,652) = 104972
Least Common Multiple (LCM) of 644 and 652 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 644 and 652. First we will calculate the prime factors of 644 and 652.
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 652
Prime factors of 652 are 2, 163. Prime factorization of 652 in exponential form is:
652 = 22 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 644 and 652.
LCM(644,652) = 22 × 71 × 231 × 1631
LCM(644,652) = 104972
Related Least Common Multiples of 644
- LCM of 644 and 648
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Related Least Common Multiples of 652
- LCM of 652 and 656
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