What is the Least Common Multiple of 5154 and 5160?
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 5154 and 5160 is 4432440.
LCM(5154,5160) = 4432440
Least Common Multiple of 5154 and 5160 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5154 and 5160, than apply into the LCM equation.
GCF(5154,5160) = 6
LCM(5154,5160) = ( 5154 × 5160) / 6
LCM(5154,5160) = 26594640 / 6
LCM(5154,5160) = 4432440
Least Common Multiple (LCM) of 5154 and 5160 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5154 and 5160. First we will calculate the prime factors of 5154 and 5160.
Prime Factorization of 5154
Prime factors of 5154 are 2, 3, 859. Prime factorization of 5154 in exponential form is:
5154 = 21 × 31 × 8591
Prime Factorization of 5160
Prime factors of 5160 are 2, 3, 5, 43. Prime factorization of 5160 in exponential form is:
5160 = 23 × 31 × 51 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 5154 and 5160.
LCM(5154,5160) = 23 × 31 × 8591 × 51 × 431
LCM(5154,5160) = 4432440
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