What is the Least Common Multiple of 84913 and 84920?
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 84913 and 84920 is 7210811960.
LCM(84913,84920) = 7210811960
Least Common Multiple of 84913 and 84920 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84913 and 84920, than apply into the LCM equation.
GCF(84913,84920) = 1
LCM(84913,84920) = ( 84913 × 84920) / 1
LCM(84913,84920) = 7210811960 / 1
LCM(84913,84920) = 7210811960
Least Common Multiple (LCM) of 84913 and 84920 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84913 and 84920. First we will calculate the prime factors of 84913 and 84920.
Prime Factorization of 84913
Prime factors of 84913 are 84913. Prime factorization of 84913 in exponential form is:
84913 = 849131
Prime Factorization of 84920
Prime factors of 84920 are 2, 5, 11, 193. Prime factorization of 84920 in exponential form is:
84920 = 23 × 51 × 111 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 84913 and 84920.
LCM(84913,84920) = 849131 × 23 × 51 × 111 × 1931
LCM(84913,84920) = 7210811960
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