What is the Least Common Multiple of 232 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 232 and 237 is 54984.
LCM(232,237) = 54984
Least Common Multiple of 232 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 232 and 237, than apply into the LCM equation.
GCF(232,237) = 1
LCM(232,237) = ( 232 × 237) / 1
LCM(232,237) = 54984 / 1
LCM(232,237) = 54984
Least Common Multiple (LCM) of 232 and 237 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 232 and 237. First we will calculate the prime factors of 232 and 237.
Prime Factorization of 232
Prime factors of 232 are 2, 29. Prime factorization of 232 in exponential form is:
232 = 23 × 291
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 232 and 237.
LCM(232,237) = 23 × 291 × 31 × 791
LCM(232,237) = 54984
Related Least Common Multiples of 232
- LCM of 232 and 236
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- LCM of 232 and 239
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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
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- LCM of 237 and 254
- LCM of 237 and 255
- LCM of 237 and 256
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