What is the Least Common Multiple of 92041 and 92045?
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 92041 and 92045 is 8471913845.
LCM(92041,92045) = 8471913845
Least Common Multiple of 92041 and 92045 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92041 and 92045, than apply into the LCM equation.
GCF(92041,92045) = 1
LCM(92041,92045) = ( 92041 × 92045) / 1
LCM(92041,92045) = 8471913845 / 1
LCM(92041,92045) = 8471913845
Least Common Multiple (LCM) of 92041 and 92045 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92041 and 92045. First we will calculate the prime factors of 92041 and 92045.
Prime Factorization of 92041
Prime factors of 92041 are 92041. Prime factorization of 92041 in exponential form is:
92041 = 920411
Prime Factorization of 92045
Prime factors of 92045 are 5, 41, 449. Prime factorization of 92045 in exponential form is:
92045 = 51 × 411 × 4491
Now multiplying the highest exponent prime factors to calculate the LCM of 92041 and 92045.
LCM(92041,92045) = 920411 × 51 × 411 × 4491
LCM(92041,92045) = 8471913845
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