What is the Least Common Multiple of 62879 and 62899?
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 62879 and 62899 is 3955026221.
LCM(62879,62899) = 3955026221
Least Common Multiple of 62879 and 62899 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62879 and 62899, than apply into the LCM equation.
GCF(62879,62899) = 1
LCM(62879,62899) = ( 62879 × 62899) / 1
LCM(62879,62899) = 3955026221 / 1
LCM(62879,62899) = 3955026221
Least Common Multiple (LCM) of 62879 and 62899 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62879 and 62899. First we will calculate the prime factors of 62879 and 62899.
Prime Factorization of 62879
Prime factors of 62879 are 227, 277. Prime factorization of 62879 in exponential form is:
62879 = 2271 × 2771
Prime Factorization of 62899
Prime factors of 62899 are 31, 2029. Prime factorization of 62899 in exponential form is:
62899 = 311 × 20291
Now multiplying the highest exponent prime factors to calculate the LCM of 62879 and 62899.
LCM(62879,62899) = 2271 × 2771 × 311 × 20291
LCM(62879,62899) = 3955026221
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