What is the Least Common Multiple of 62217 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 62217 and 62230 is 3871763910.
LCM(62217,62230) = 3871763910
Least Common Multiple of 62217 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 62217 and 62230, than apply into the LCM equation.
GCF(62217,62230) = 1
LCM(62217,62230) = ( 62217 × 62230) / 1
LCM(62217,62230) = 3871763910 / 1
LCM(62217,62230) = 3871763910
Least Common Multiple (LCM) of 62217 and 62230 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62217 and 62230. First we will calculate the prime factors of 62217 and 62230.
Prime Factorization of 62217
Prime factors of 62217 are 3, 31, 223. Prime factorization of 62217 in exponential form is:
62217 = 32 × 311 × 2231
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 62217 and 62230.
LCM(62217,62230) = 32 × 311 × 2231 × 21 × 51 × 72 × 1271
LCM(62217,62230) = 3871763910
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