What is the Least Common Multiple of 62595 and 62615?
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 62595 and 62615 is 783877185.
LCM(62595,62615) = 783877185
Least Common Multiple of 62595 and 62615 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62595 and 62615, than apply into the LCM equation.
GCF(62595,62615) = 5
LCM(62595,62615) = ( 62595 × 62615) / 5
LCM(62595,62615) = 3919385925 / 5
LCM(62595,62615) = 783877185
Least Common Multiple (LCM) of 62595 and 62615 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62595 and 62615. First we will calculate the prime factors of 62595 and 62615.
Prime Factorization of 62595
Prime factors of 62595 are 3, 5, 13, 107. Prime factorization of 62595 in exponential form is:
62595 = 32 × 51 × 131 × 1071
Prime Factorization of 62615
Prime factors of 62615 are 5, 7, 1789. Prime factorization of 62615 in exponential form is:
62615 = 51 × 71 × 17891
Now multiplying the highest exponent prime factors to calculate the LCM of 62595 and 62615.
LCM(62595,62615) = 32 × 51 × 131 × 1071 × 71 × 17891
LCM(62595,62615) = 783877185
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