What is the Least Common Multiple of 3552 and 3566?
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 3552 and 3566 is 6333216.
LCM(3552,3566) = 6333216
Least Common Multiple of 3552 and 3566 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3552 and 3566, than apply into the LCM equation.
GCF(3552,3566) = 2
LCM(3552,3566) = ( 3552 × 3566) / 2
LCM(3552,3566) = 12666432 / 2
LCM(3552,3566) = 6333216
Least Common Multiple (LCM) of 3552 and 3566 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3552 and 3566. First we will calculate the prime factors of 3552 and 3566.
Prime Factorization of 3552
Prime factors of 3552 are 2, 3, 37. Prime factorization of 3552 in exponential form is:
3552 = 25 × 31 × 371
Prime Factorization of 3566
Prime factors of 3566 are 2, 1783. Prime factorization of 3566 in exponential form is:
3566 = 21 × 17831
Now multiplying the highest exponent prime factors to calculate the LCM of 3552 and 3566.
LCM(3552,3566) = 25 × 31 × 371 × 17831
LCM(3552,3566) = 6333216
Related Least Common Multiples of 3552
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Related Least Common Multiples of 3566
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