What is the Least Common Multiple of 210 and 218?
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 218 is 22890.
LCM(210,218) = 22890
Least Common Multiple of 210 and 218 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 218, than apply into the LCM equation.
GCF(210,218) = 2
LCM(210,218) = ( 210 × 218) / 2
LCM(210,218) = 45780 / 2
LCM(210,218) = 22890
Least Common Multiple (LCM) of 210 and 218 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 210 and 218. First we will calculate the prime factors of 210 and 218.
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 218
Prime factors of 218 are 2, 109. Prime factorization of 218 in exponential form is:
218 = 21 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 210 and 218.
LCM(210,218) = 21 × 31 × 51 × 71 × 1091
LCM(210,218) = 22890
Related Least Common Multiples of 210
- LCM of 210 and 214
- LCM of 210 and 215
- LCM of 210 and 216
- LCM of 210 and 217
- LCM of 210 and 218
- LCM of 210 and 219
- LCM of 210 and 220
- LCM of 210 and 221
- LCM of 210 and 222
- LCM of 210 and 223
- LCM of 210 and 224
- LCM of 210 and 225
- LCM of 210 and 226
- LCM of 210 and 227
- LCM of 210 and 228
- LCM of 210 and 229
- LCM of 210 and 230
Related Least Common Multiples of 218
- LCM of 218 and 222
- LCM of 218 and 223
- LCM of 218 and 224
- LCM of 218 and 225
- LCM of 218 and 226
- LCM of 218 and 227
- LCM of 218 and 228
- LCM of 218 and 229
- LCM of 218 and 230
- LCM of 218 and 231
- LCM of 218 and 232
- LCM of 218 and 233
- LCM of 218 and 234
- LCM of 218 and 235
- LCM of 218 and 236
- LCM of 218 and 237
- LCM of 218 and 238