What is the Least Common Multiple of 93076 and 93087?
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 93076 and 93087 is 8664165612.
LCM(93076,93087) = 8664165612
Least Common Multiple of 93076 and 93087 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93076 and 93087, than apply into the LCM equation.
GCF(93076,93087) = 1
LCM(93076,93087) = ( 93076 × 93087) / 1
LCM(93076,93087) = 8664165612 / 1
LCM(93076,93087) = 8664165612
Least Common Multiple (LCM) of 93076 and 93087 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93076 and 93087. First we will calculate the prime factors of 93076 and 93087.
Prime Factorization of 93076
Prime factors of 93076 are 2, 23269. Prime factorization of 93076 in exponential form is:
93076 = 22 × 232691
Prime Factorization of 93087
Prime factors of 93087 are 3, 10343. Prime factorization of 93087 in exponential form is:
93087 = 32 × 103431
Now multiplying the highest exponent prime factors to calculate the LCM of 93076 and 93087.
LCM(93076,93087) = 22 × 232691 × 32 × 103431
LCM(93076,93087) = 8664165612
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