What is the Least Common Multiple of 92921 and 92932?
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 92921 and 92932 is 8635334372.
LCM(92921,92932) = 8635334372
Least Common Multiple of 92921 and 92932 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92921 and 92932, than apply into the LCM equation.
GCF(92921,92932) = 1
LCM(92921,92932) = ( 92921 × 92932) / 1
LCM(92921,92932) = 8635334372 / 1
LCM(92921,92932) = 8635334372
Least Common Multiple (LCM) of 92921 and 92932 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92921 and 92932. First we will calculate the prime factors of 92921 and 92932.
Prime Factorization of 92921
Prime factors of 92921 are 92921. Prime factorization of 92921 in exponential form is:
92921 = 929211
Prime Factorization of 92932
Prime factors of 92932 are 2, 7, 3319. Prime factorization of 92932 in exponential form is:
92932 = 22 × 71 × 33191
Now multiplying the highest exponent prime factors to calculate the LCM of 92921 and 92932.
LCM(92921,92932) = 929211 × 22 × 71 × 33191
LCM(92921,92932) = 8635334372
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