What is the Least Common Multiple of 62860 and 62865?
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 62860 and 62865 is 790338780.
LCM(62860,62865) = 790338780
Least Common Multiple of 62860 and 62865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62860 and 62865, than apply into the LCM equation.
GCF(62860,62865) = 5
LCM(62860,62865) = ( 62860 × 62865) / 5
LCM(62860,62865) = 3951693900 / 5
LCM(62860,62865) = 790338780
Least Common Multiple (LCM) of 62860 and 62865 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62860 and 62865. First we will calculate the prime factors of 62860 and 62865.
Prime Factorization of 62860
Prime factors of 62860 are 2, 5, 7, 449. Prime factorization of 62860 in exponential form is:
62860 = 22 × 51 × 71 × 4491
Prime Factorization of 62865
Prime factors of 62865 are 3, 5, 11, 127. Prime factorization of 62865 in exponential form is:
62865 = 32 × 51 × 111 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 62860 and 62865.
LCM(62860,62865) = 22 × 51 × 71 × 4491 × 32 × 111 × 1271
LCM(62860,62865) = 790338780
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