What is the Least Common Multiple of 62091 and 62095?
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 62091 and 62095 is 3855540645.
LCM(62091,62095) = 3855540645
Least Common Multiple of 62091 and 62095 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62091 and 62095, than apply into the LCM equation.
GCF(62091,62095) = 1
LCM(62091,62095) = ( 62091 × 62095) / 1
LCM(62091,62095) = 3855540645 / 1
LCM(62091,62095) = 3855540645
Least Common Multiple (LCM) of 62091 and 62095 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62091 and 62095. First we will calculate the prime factors of 62091 and 62095.
Prime Factorization of 62091
Prime factors of 62091 are 3, 6899. Prime factorization of 62091 in exponential form is:
62091 = 32 × 68991
Prime Factorization of 62095
Prime factors of 62095 are 5, 11, 1129. Prime factorization of 62095 in exponential form is:
62095 = 51 × 111 × 11291
Now multiplying the highest exponent prime factors to calculate the LCM of 62091 and 62095.
LCM(62091,62095) = 32 × 68991 × 51 × 111 × 11291
LCM(62091,62095) = 3855540645
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