What is the Least Common Multiple of 7240 and 7259?
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 7240 and 7259 is 52555160.
LCM(7240,7259) = 52555160
Least Common Multiple of 7240 and 7259 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7240 and 7259, than apply into the LCM equation.
GCF(7240,7259) = 1
LCM(7240,7259) = ( 7240 × 7259) / 1
LCM(7240,7259) = 52555160 / 1
LCM(7240,7259) = 52555160
Least Common Multiple (LCM) of 7240 and 7259 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7240 and 7259. First we will calculate the prime factors of 7240 and 7259.
Prime Factorization of 7240
Prime factors of 7240 are 2, 5, 181. Prime factorization of 7240 in exponential form is:
7240 = 23 × 51 × 1811
Prime Factorization of 7259
Prime factors of 7259 are 7, 17, 61. Prime factorization of 7259 in exponential form is:
7259 = 71 × 171 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 7240 and 7259.
LCM(7240,7259) = 23 × 51 × 1811 × 71 × 171 × 611
LCM(7240,7259) = 52555160
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