What is the Least Common Multiple of 81037 and 81057?
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 81037 and 81057 is 6568616109.
LCM(81037,81057) = 6568616109
Least Common Multiple of 81037 and 81057 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81037 and 81057, than apply into the LCM equation.
GCF(81037,81057) = 1
LCM(81037,81057) = ( 81037 × 81057) / 1
LCM(81037,81057) = 6568616109 / 1
LCM(81037,81057) = 6568616109
Least Common Multiple (LCM) of 81037 and 81057 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81037 and 81057. First we will calculate the prime factors of 81037 and 81057.
Prime Factorization of 81037
Prime factors of 81037 are 11, 53, 139. Prime factorization of 81037 in exponential form is:
81037 = 111 × 531 × 1391
Prime Factorization of 81057
Prime factors of 81057 are 3, 41, 659. Prime factorization of 81057 in exponential form is:
81057 = 31 × 411 × 6591
Now multiplying the highest exponent prime factors to calculate the LCM of 81037 and 81057.
LCM(81037,81057) = 111 × 531 × 1391 × 31 × 411 × 6591
LCM(81037,81057) = 6568616109
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