What is the Least Common Multiple of 224 and 237?
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 224 and 237 is 53088.
LCM(224,237) = 53088
Least Common Multiple of 224 and 237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 224 and 237, than apply into the LCM equation.
GCF(224,237) = 1
LCM(224,237) = ( 224 × 237) / 1
LCM(224,237) = 53088 / 1
LCM(224,237) = 53088
Least Common Multiple (LCM) of 224 and 237 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 224 and 237. First we will calculate the prime factors of 224 and 237.
Prime Factorization of 224
Prime factors of 224 are 2, 7. Prime factorization of 224 in exponential form is:
224 = 25 × 71
Prime Factorization of 237
Prime factors of 237 are 3, 79. Prime factorization of 237 in exponential form is:
237 = 31 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 224 and 237.
LCM(224,237) = 25 × 71 × 31 × 791
LCM(224,237) = 53088
Related Least Common Multiples of 224
- LCM of 224 and 228
- LCM of 224 and 229
- LCM of 224 and 230
- LCM of 224 and 231
- LCM of 224 and 232
- LCM of 224 and 233
- LCM of 224 and 234
- LCM of 224 and 235
- LCM of 224 and 236
- LCM of 224 and 237
- LCM of 224 and 238
- LCM of 224 and 239
- LCM of 224 and 240
- LCM of 224 and 241
- LCM of 224 and 242
- LCM of 224 and 243
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Related Least Common Multiples of 237
- LCM of 237 and 241
- LCM of 237 and 242
- LCM of 237 and 243
- LCM of 237 and 244
- LCM of 237 and 245
- LCM of 237 and 246
- LCM of 237 and 247
- LCM of 237 and 248
- LCM of 237 and 249
- LCM of 237 and 250
- LCM of 237 and 251
- LCM of 237 and 252
- LCM of 237 and 253
- LCM of 237 and 254
- LCM of 237 and 255
- LCM of 237 and 256
- LCM of 237 and 257