What is the Least Common Multiple of 220 and 228?
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 220 and 228 is 12540.
LCM(220,228) = 12540
Least Common Multiple of 220 and 228 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 220 and 228, than apply into the LCM equation.
GCF(220,228) = 4
LCM(220,228) = ( 220 × 228) / 4
LCM(220,228) = 50160 / 4
LCM(220,228) = 12540
Least Common Multiple (LCM) of 220 and 228 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 220 and 228. First we will calculate the prime factors of 220 and 228.
Prime Factorization of 220
Prime factors of 220 are 2, 5, 11. Prime factorization of 220 in exponential form is:
220 = 22 × 51 × 111
Prime Factorization of 228
Prime factors of 228 are 2, 3, 19. Prime factorization of 228 in exponential form is:
228 = 22 × 31 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 220 and 228.
LCM(220,228) = 22 × 51 × 111 × 31 × 191
LCM(220,228) = 12540
Related Least Common Multiples of 220
- LCM of 220 and 224
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- LCM of 220 and 227
- LCM of 220 and 228
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Related Least Common Multiples of 228
- LCM of 228 and 232
- LCM of 228 and 233
- LCM of 228 and 234
- LCM of 228 and 235
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