What is the Least Common Multiple of 196 and 216?
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 196 and 216 is 10584.
LCM(196,216) = 10584
Least Common Multiple of 196 and 216 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 196 and 216, than apply into the LCM equation.
GCF(196,216) = 4
LCM(196,216) = ( 196 × 216) / 4
LCM(196,216) = 42336 / 4
LCM(196,216) = 10584
Least Common Multiple (LCM) of 196 and 216 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 196 and 216. First we will calculate the prime factors of 196 and 216.
Prime Factorization of 196
Prime factors of 196 are 2, 7. Prime factorization of 196 in exponential form is:
196 = 22 × 72
Prime Factorization of 216
Prime factors of 216 are 2, 3. Prime factorization of 216 in exponential form is:
216 = 23 × 33
Now multiplying the highest exponent prime factors to calculate the LCM of 196 and 216.
LCM(196,216) = 23 × 72 × 33
LCM(196,216) = 10584
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Related Least Common Multiples of 216
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