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What is the Least Common Multiple of 95290 and 95304?

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 95290 and 95304 is 4540759080.

LCM(95290,95304) = 4540759080

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Least Common Multiple of 95290 and 95304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95290 and 95304, than apply into the LCM equation.

GCF(95290,95304) = 2
LCM(95290,95304) = ( 95290 × 95304) / 2
LCM(95290,95304) = 9081518160 / 2
LCM(95290,95304) = 4540759080

Least Common Multiple (LCM) of 95290 and 95304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95290 and 95304. First we will calculate the prime factors of 95290 and 95304.

Prime Factorization of 95290

Prime factors of 95290 are 2, 5, 13, 733. Prime factorization of 95290 in exponential form is:

95290 = 21 × 51 × 131 × 7331

Prime Factorization of 95304

Prime factors of 95304 are 2, 3, 11, 19. Prime factorization of 95304 in exponential form is:

95304 = 23 × 31 × 111 × 192

Now multiplying the highest exponent prime factors to calculate the LCM of 95290 and 95304.

LCM(95290,95304) = 23 × 51 × 131 × 7331 × 31 × 111 × 192
LCM(95290,95304) = 4540759080