What is the Least Common Multiple of 92966 and 92970?
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 92966 and 92970 is 4321524510.
LCM(92966,92970) = 4321524510
Least Common Multiple of 92966 and 92970 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92966 and 92970, than apply into the LCM equation.
GCF(92966,92970) = 2
LCM(92966,92970) = ( 92966 × 92970) / 2
LCM(92966,92970) = 8643049020 / 2
LCM(92966,92970) = 4321524510
Least Common Multiple (LCM) of 92966 and 92970 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92966 and 92970. First we will calculate the prime factors of 92966 and 92970.
Prime Factorization of 92966
Prime factors of 92966 are 2, 23, 43, 47. Prime factorization of 92966 in exponential form is:
92966 = 21 × 231 × 431 × 471
Prime Factorization of 92970
Prime factors of 92970 are 2, 3, 5, 1033. Prime factorization of 92970 in exponential form is:
92970 = 21 × 32 × 51 × 10331
Now multiplying the highest exponent prime factors to calculate the LCM of 92966 and 92970.
LCM(92966,92970) = 21 × 231 × 431 × 471 × 32 × 51 × 10331
LCM(92966,92970) = 4321524510
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