What is the Least Common Multiple of 92450 and 92467?
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 92450 and 92467 is 8548574150.
LCM(92450,92467) = 8548574150
Least Common Multiple of 92450 and 92467 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92450 and 92467, than apply into the LCM equation.
GCF(92450,92467) = 1
LCM(92450,92467) = ( 92450 × 92467) / 1
LCM(92450,92467) = 8548574150 / 1
LCM(92450,92467) = 8548574150
Least Common Multiple (LCM) of 92450 and 92467 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92450 and 92467. First we will calculate the prime factors of 92450 and 92467.
Prime Factorization of 92450
Prime factors of 92450 are 2, 5, 43. Prime factorization of 92450 in exponential form is:
92450 = 21 × 52 × 432
Prime Factorization of 92467
Prime factors of 92467 are 92467. Prime factorization of 92467 in exponential form is:
92467 = 924671
Now multiplying the highest exponent prime factors to calculate the LCM of 92450 and 92467.
LCM(92450,92467) = 21 × 52 × 432 × 924671
LCM(92450,92467) = 8548574150
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