What is the Least Common Multiple of 92118 and 92127?
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 92118 and 92127 is 2828851662.
LCM(92118,92127) = 2828851662
Least Common Multiple of 92118 and 92127 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92118 and 92127, than apply into the LCM equation.
GCF(92118,92127) = 3
LCM(92118,92127) = ( 92118 × 92127) / 3
LCM(92118,92127) = 8486554986 / 3
LCM(92118,92127) = 2828851662
Least Common Multiple (LCM) of 92118 and 92127 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92118 and 92127. First we will calculate the prime factors of 92118 and 92127.
Prime Factorization of 92118
Prime factors of 92118 are 2, 3, 13, 1181. Prime factorization of 92118 in exponential form is:
92118 = 21 × 31 × 131 × 11811
Prime Factorization of 92127
Prime factors of 92127 are 3, 7, 41, 107. Prime factorization of 92127 in exponential form is:
92127 = 31 × 71 × 411 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 92118 and 92127.
LCM(92118,92127) = 21 × 31 × 131 × 11811 × 71 × 411 × 1071
LCM(92118,92127) = 2828851662
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