What is the Least Common Multiple of 62230 and 62237?
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 62230 and 62237 is 553286930.
LCM(62230,62237) = 553286930
Least Common Multiple of 62230 and 62237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62230 and 62237, than apply into the LCM equation.
GCF(62230,62237) = 7
LCM(62230,62237) = ( 62230 × 62237) / 7
LCM(62230,62237) = 3873008510 / 7
LCM(62230,62237) = 553286930
Least Common Multiple (LCM) of 62230 and 62237 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62230 and 62237. First we will calculate the prime factors of 62230 and 62237.
Prime Factorization of 62230
Prime factors of 62230 are 2, 5, 7, 127. Prime factorization of 62230 in exponential form is:
62230 = 21 × 51 × 72 × 1271
Prime Factorization of 62237
Prime factors of 62237 are 7, 17, 523. Prime factorization of 62237 in exponential form is:
62237 = 71 × 171 × 5231
Now multiplying the highest exponent prime factors to calculate the LCM of 62230 and 62237.
LCM(62230,62237) = 21 × 51 × 72 × 1271 × 171 × 5231
LCM(62230,62237) = 553286930
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