What is the Least Common Multiple of 60233 and 60247?
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 60233 and 60247 is 3628857551.
LCM(60233,60247) = 3628857551
Least Common Multiple of 60233 and 60247 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60233 and 60247, than apply into the LCM equation.
GCF(60233,60247) = 1
LCM(60233,60247) = ( 60233 × 60247) / 1
LCM(60233,60247) = 3628857551 / 1
LCM(60233,60247) = 3628857551
Least Common Multiple (LCM) of 60233 and 60247 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60233 and 60247. First we will calculate the prime factors of 60233 and 60247.
Prime Factorization of 60233
Prime factors of 60233 are 29, 31, 67. Prime factorization of 60233 in exponential form is:
60233 = 291 × 311 × 671
Prime Factorization of 60247
Prime factors of 60247 are 11, 5477. Prime factorization of 60247 in exponential form is:
60247 = 111 × 54771
Now multiplying the highest exponent prime factors to calculate the LCM of 60233 and 60247.
LCM(60233,60247) = 291 × 311 × 671 × 111 × 54771
LCM(60233,60247) = 3628857551
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