What is the Least Common Multiple of 24076 and 24087?
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 24076 and 24087 is 579918612.
LCM(24076,24087) = 579918612
Least Common Multiple of 24076 and 24087 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24076 and 24087, than apply into the LCM equation.
GCF(24076,24087) = 1
LCM(24076,24087) = ( 24076 × 24087) / 1
LCM(24076,24087) = 579918612 / 1
LCM(24076,24087) = 579918612
Least Common Multiple (LCM) of 24076 and 24087 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24076 and 24087. First we will calculate the prime factors of 24076 and 24087.
Prime Factorization of 24076
Prime factors of 24076 are 2, 13, 463. Prime factorization of 24076 in exponential form is:
24076 = 22 × 131 × 4631
Prime Factorization of 24087
Prime factors of 24087 are 3, 7, 31, 37. Prime factorization of 24087 in exponential form is:
24087 = 31 × 71 × 311 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 24076 and 24087.
LCM(24076,24087) = 22 × 131 × 4631 × 31 × 71 × 311 × 371
LCM(24076,24087) = 579918612
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