What is the Least Common Multiple of 5290 and 5310?
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 5290 and 5310 is 2808990.
LCM(5290,5310) = 2808990
Least Common Multiple of 5290 and 5310 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5290 and 5310, than apply into the LCM equation.
GCF(5290,5310) = 10
LCM(5290,5310) = ( 5290 × 5310) / 10
LCM(5290,5310) = 28089900 / 10
LCM(5290,5310) = 2808990
Least Common Multiple (LCM) of 5290 and 5310 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5290 and 5310. First we will calculate the prime factors of 5290 and 5310.
Prime Factorization of 5290
Prime factors of 5290 are 2, 5, 23. Prime factorization of 5290 in exponential form is:
5290 = 21 × 51 × 232
Prime Factorization of 5310
Prime factors of 5310 are 2, 3, 5, 59. Prime factorization of 5310 in exponential form is:
5310 = 21 × 32 × 51 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 5290 and 5310.
LCM(5290,5310) = 21 × 51 × 232 × 32 × 591
LCM(5290,5310) = 2808990
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