What is the Least Common Multiple of 232 and 248?
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 248 is 7192.
LCM(232,248) = 7192
Least Common Multiple of 232 and 248 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 248, than apply into the LCM equation.
GCF(232,248) = 8
LCM(232,248) = ( 232 × 248) / 8
LCM(232,248) = 57536 / 8
LCM(232,248) = 7192
Least Common Multiple (LCM) of 232 and 248 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 232 and 248. First we will calculate the prime factors of 232 and 248.
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 248
Prime factors of 248 are 2, 31. Prime factorization of 248 in exponential form is:
248 = 23 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 232 and 248.
LCM(232,248) = 23 × 291 × 311
LCM(232,248) = 7192
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