What is the Least Common Multiple of 92411 and 92415?
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 92411 and 92415 is 8540162565.
LCM(92411,92415) = 8540162565
Least Common Multiple of 92411 and 92415 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92411 and 92415, than apply into the LCM equation.
GCF(92411,92415) = 1
LCM(92411,92415) = ( 92411 × 92415) / 1
LCM(92411,92415) = 8540162565 / 1
LCM(92411,92415) = 8540162565
Least Common Multiple (LCM) of 92411 and 92415 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92411 and 92415. First we will calculate the prime factors of 92411 and 92415.
Prime Factorization of 92411
Prime factors of 92411 are 11, 31, 271. Prime factorization of 92411 in exponential form is:
92411 = 111 × 311 × 2711
Prime Factorization of 92415
Prime factors of 92415 are 3, 5, 61, 101. Prime factorization of 92415 in exponential form is:
92415 = 31 × 51 × 611 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 92411 and 92415.
LCM(92411,92415) = 111 × 311 × 2711 × 31 × 51 × 611 × 1011
LCM(92411,92415) = 8540162565
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