What is the Least Common Multiple of 92744 and 92761?
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 92744 and 92761 is 8603026184.
LCM(92744,92761) = 8603026184
Least Common Multiple of 92744 and 92761 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92744 and 92761, than apply into the LCM equation.
GCF(92744,92761) = 1
LCM(92744,92761) = ( 92744 × 92761) / 1
LCM(92744,92761) = 8603026184 / 1
LCM(92744,92761) = 8603026184
Least Common Multiple (LCM) of 92744 and 92761 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92744 and 92761. First we will calculate the prime factors of 92744 and 92761.
Prime Factorization of 92744
Prime factors of 92744 are 2, 11593. Prime factorization of 92744 in exponential form is:
92744 = 23 × 115931
Prime Factorization of 92761
Prime factors of 92761 are 92761. Prime factorization of 92761 in exponential form is:
92761 = 927611
Now multiplying the highest exponent prime factors to calculate the LCM of 92744 and 92761.
LCM(92744,92761) = 23 × 115931 × 927611
LCM(92744,92761) = 8603026184
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