What is the Least Common Multiple of 92132 and 92138?
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 92132 and 92138 is 4244429108.
LCM(92132,92138) = 4244429108
Least Common Multiple of 92132 and 92138 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92132 and 92138, than apply into the LCM equation.
GCF(92132,92138) = 2
LCM(92132,92138) = ( 92132 × 92138) / 2
LCM(92132,92138) = 8488858216 / 2
LCM(92132,92138) = 4244429108
Least Common Multiple (LCM) of 92132 and 92138 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92132 and 92138. First we will calculate the prime factors of 92132 and 92138.
Prime Factorization of 92132
Prime factors of 92132 are 2, 31, 743. Prime factorization of 92132 in exponential form is:
92132 = 22 × 311 × 7431
Prime Factorization of 92138
Prime factors of 92138 are 2, 23, 2003. Prime factorization of 92138 in exponential form is:
92138 = 21 × 231 × 20031
Now multiplying the highest exponent prime factors to calculate the LCM of 92132 and 92138.
LCM(92132,92138) = 22 × 311 × 7431 × 231 × 20031
LCM(92132,92138) = 4244429108
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