What is the Least Common Multiple of 62226 and 62230?
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 62226 and 62230 is 1936161990.
LCM(62226,62230) = 1936161990
Least Common Multiple of 62226 and 62230 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62226 and 62230, than apply into the LCM equation.
GCF(62226,62230) = 2
LCM(62226,62230) = ( 62226 × 62230) / 2
LCM(62226,62230) = 3872323980 / 2
LCM(62226,62230) = 1936161990
Least Common Multiple (LCM) of 62226 and 62230 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62226 and 62230. First we will calculate the prime factors of 62226 and 62230.
Prime Factorization of 62226
Prime factors of 62226 are 2, 3, 3457. Prime factorization of 62226 in exponential form is:
62226 = 21 × 32 × 34571
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
Now multiplying the highest exponent prime factors to calculate the LCM of 62226 and 62230.
LCM(62226,62230) = 21 × 32 × 34571 × 51 × 72 × 1271
LCM(62226,62230) = 1936161990
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