What is the Least Common Multiple of 92527 and 92540?
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 92527 and 92540 is 8562448580.
LCM(92527,92540) = 8562448580
Least Common Multiple of 92527 and 92540 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92527 and 92540, than apply into the LCM equation.
GCF(92527,92540) = 1
LCM(92527,92540) = ( 92527 × 92540) / 1
LCM(92527,92540) = 8562448580 / 1
LCM(92527,92540) = 8562448580
Least Common Multiple (LCM) of 92527 and 92540 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92527 and 92540. First we will calculate the prime factors of 92527 and 92540.
Prime Factorization of 92527
Prime factors of 92527 are 67, 1381. Prime factorization of 92527 in exponential form is:
92527 = 671 × 13811
Prime Factorization of 92540
Prime factors of 92540 are 2, 5, 7, 661. Prime factorization of 92540 in exponential form is:
92540 = 22 × 51 × 71 × 6611
Now multiplying the highest exponent prime factors to calculate the LCM of 92527 and 92540.
LCM(92527,92540) = 671 × 13811 × 22 × 51 × 71 × 6611
LCM(92527,92540) = 8562448580
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