What is the Least Common Multiple of 92076 and 92081?
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 92076 and 92081 is 8478450156.
LCM(92076,92081) = 8478450156
Least Common Multiple of 92076 and 92081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92076 and 92081, than apply into the LCM equation.
GCF(92076,92081) = 1
LCM(92076,92081) = ( 92076 × 92081) / 1
LCM(92076,92081) = 8478450156 / 1
LCM(92076,92081) = 8478450156
Least Common Multiple (LCM) of 92076 and 92081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92076 and 92081. First we will calculate the prime factors of 92076 and 92081.
Prime Factorization of 92076
Prime factors of 92076 are 2, 3, 7673. Prime factorization of 92076 in exponential form is:
92076 = 22 × 31 × 76731
Prime Factorization of 92081
Prime factors of 92081 are 11, 761. Prime factorization of 92081 in exponential form is:
92081 = 112 × 7611
Now multiplying the highest exponent prime factors to calculate the LCM of 92076 and 92081.
LCM(92076,92081) = 22 × 31 × 76731 × 112 × 7611
LCM(92076,92081) = 8478450156
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