What is the Least Common Multiple of 92742 and 92748?
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 92742 and 92748 is 1433605836.
LCM(92742,92748) = 1433605836
Least Common Multiple of 92742 and 92748 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92742 and 92748, than apply into the LCM equation.
GCF(92742,92748) = 6
LCM(92742,92748) = ( 92742 × 92748) / 6
LCM(92742,92748) = 8601635016 / 6
LCM(92742,92748) = 1433605836
Least Common Multiple (LCM) of 92742 and 92748 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92742 and 92748. First we will calculate the prime factors of 92742 and 92748.
Prime Factorization of 92742
Prime factors of 92742 are 2, 3, 13, 29, 41. Prime factorization of 92742 in exponential form is:
92742 = 21 × 31 × 131 × 291 × 411
Prime Factorization of 92748
Prime factors of 92748 are 2, 3, 59, 131. Prime factorization of 92748 in exponential form is:
92748 = 22 × 31 × 591 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 92742 and 92748.
LCM(92742,92748) = 22 × 31 × 131 × 291 × 411 × 591 × 1311
LCM(92742,92748) = 1433605836
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