What is the Least Common Multiple of 86932 and 86936?
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 86932 and 86936 is 1889380088.
LCM(86932,86936) = 1889380088
Least Common Multiple of 86932 and 86936 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86932 and 86936, than apply into the LCM equation.
GCF(86932,86936) = 4
LCM(86932,86936) = ( 86932 × 86936) / 4
LCM(86932,86936) = 7557520352 / 4
LCM(86932,86936) = 1889380088
Least Common Multiple (LCM) of 86932 and 86936 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86932 and 86936. First we will calculate the prime factors of 86932 and 86936.
Prime Factorization of 86932
Prime factors of 86932 are 2, 103, 211. Prime factorization of 86932 in exponential form is:
86932 = 22 × 1031 × 2111
Prime Factorization of 86936
Prime factors of 86936 are 2, 10867. Prime factorization of 86936 in exponential form is:
86936 = 23 × 108671
Now multiplying the highest exponent prime factors to calculate the LCM of 86932 and 86936.
LCM(86932,86936) = 23 × 1031 × 2111 × 108671
LCM(86932,86936) = 1889380088
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