What is the Least Common Multiple of 210 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 210 and 216 is 7560.
LCM(210,216) = 7560
Least Common Multiple of 210 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 210 and 216, than apply into the LCM equation.
GCF(210,216) = 6
LCM(210,216) = ( 210 × 216) / 6
LCM(210,216) = 45360 / 6
LCM(210,216) = 7560
Least Common Multiple (LCM) of 210 and 216 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 210 and 216. First we will calculate the prime factors of 210 and 216.
Prime Factorization of 210
Prime factors of 210 are 2, 3, 5, 7. Prime factorization of 210 in exponential form is:
210 = 21 × 31 × 51 × 71
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 210 and 216.
LCM(210,216) = 23 × 33 × 51 × 71
LCM(210,216) = 7560
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Related Least Common Multiples of 216
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