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What is the Least Common Multiple of 7298 and 7315?

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 7298 and 7315 is 53384870.

LCM(7298,7315) = 53384870

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Least Common Multiple of 7298 and 7315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7298 and 7315, than apply into the LCM equation.

GCF(7298,7315) = 1
LCM(7298,7315) = ( 7298 × 7315) / 1
LCM(7298,7315) = 53384870 / 1
LCM(7298,7315) = 53384870

Least Common Multiple (LCM) of 7298 and 7315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7298 and 7315. First we will calculate the prime factors of 7298 and 7315.

Prime Factorization of 7298

Prime factors of 7298 are 2, 41, 89. Prime factorization of 7298 in exponential form is:

7298 = 21 × 411 × 891

Prime Factorization of 7315

Prime factors of 7315 are 5, 7, 11, 19. Prime factorization of 7315 in exponential form is:

7315 = 51 × 71 × 111 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 7298 and 7315.

LCM(7298,7315) = 21 × 411 × 891 × 51 × 71 × 111 × 191
LCM(7298,7315) = 53384870