What is the Least Common Multiple of 81103 and 81123?
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 81103 and 81123 is 6579318669.
LCM(81103,81123) = 6579318669
Least Common Multiple of 81103 and 81123 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81103 and 81123, than apply into the LCM equation.
GCF(81103,81123) = 1
LCM(81103,81123) = ( 81103 × 81123) / 1
LCM(81103,81123) = 6579318669 / 1
LCM(81103,81123) = 6579318669
Least Common Multiple (LCM) of 81103 and 81123 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81103 and 81123. First we will calculate the prime factors of 81103 and 81123.
Prime Factorization of 81103
Prime factors of 81103 are 11, 73, 101. Prime factorization of 81103 in exponential form is:
81103 = 111 × 731 × 1011
Prime Factorization of 81123
Prime factors of 81123 are 3, 7, 3863. Prime factorization of 81123 in exponential form is:
81123 = 31 × 71 × 38631
Now multiplying the highest exponent prime factors to calculate the LCM of 81103 and 81123.
LCM(81103,81123) = 111 × 731 × 1011 × 31 × 71 × 38631
LCM(81103,81123) = 6579318669
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