What is the Least Common Multiple of 92932 and 92936?
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 92932 and 92936 is 2159182088.
LCM(92932,92936) = 2159182088
Least Common Multiple of 92932 and 92936 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92932 and 92936, than apply into the LCM equation.
GCF(92932,92936) = 4
LCM(92932,92936) = ( 92932 × 92936) / 4
LCM(92932,92936) = 8636728352 / 4
LCM(92932,92936) = 2159182088
Least Common Multiple (LCM) of 92932 and 92936 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92932 and 92936. First we will calculate the prime factors of 92932 and 92936.
Prime Factorization of 92932
Prime factors of 92932 are 2, 7, 3319. Prime factorization of 92932 in exponential form is:
92932 = 22 × 71 × 33191
Prime Factorization of 92936
Prime factors of 92936 are 2, 11617. Prime factorization of 92936 in exponential form is:
92936 = 23 × 116171
Now multiplying the highest exponent prime factors to calculate the LCM of 92932 and 92936.
LCM(92932,92936) = 23 × 71 × 33191 × 116171
LCM(92932,92936) = 2159182088
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