What is the Least Common Multiple of 85092 and 85101?
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 85092 and 85101 is 2413804764.
LCM(85092,85101) = 2413804764
Least Common Multiple of 85092 and 85101 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85092 and 85101, than apply into the LCM equation.
GCF(85092,85101) = 3
LCM(85092,85101) = ( 85092 × 85101) / 3
LCM(85092,85101) = 7241414292 / 3
LCM(85092,85101) = 2413804764
Least Common Multiple (LCM) of 85092 and 85101 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 85092 and 85101. First we will calculate the prime factors of 85092 and 85101.
Prime Factorization of 85092
Prime factors of 85092 are 2, 3, 7, 1013. Prime factorization of 85092 in exponential form is:
85092 = 22 × 31 × 71 × 10131
Prime Factorization of 85101
Prime factors of 85101 are 3, 19, 1493. Prime factorization of 85101 in exponential form is:
85101 = 31 × 191 × 14931
Now multiplying the highest exponent prime factors to calculate the LCM of 85092 and 85101.
LCM(85092,85101) = 22 × 31 × 71 × 10131 × 191 × 14931
LCM(85092,85101) = 2413804764
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