What is the Least Common Multiple of 92350 and 92359?
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 92350 and 92359 is 8529353650.
LCM(92350,92359) = 8529353650
Least Common Multiple of 92350 and 92359 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92350 and 92359, than apply into the LCM equation.
GCF(92350,92359) = 1
LCM(92350,92359) = ( 92350 × 92359) / 1
LCM(92350,92359) = 8529353650 / 1
LCM(92350,92359) = 8529353650
Least Common Multiple (LCM) of 92350 and 92359 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92350 and 92359. First we will calculate the prime factors of 92350 and 92359.
Prime Factorization of 92350
Prime factors of 92350 are 2, 5, 1847. Prime factorization of 92350 in exponential form is:
92350 = 21 × 52 × 18471
Prime Factorization of 92359
Prime factors of 92359 are 19, 4861. Prime factorization of 92359 in exponential form is:
92359 = 191 × 48611
Now multiplying the highest exponent prime factors to calculate the LCM of 92350 and 92359.
LCM(92350,92359) = 21 × 52 × 18471 × 191 × 48611
LCM(92350,92359) = 8529353650
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