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What is the Least Common Multiple of 27430 and 27435?

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 27430 and 27435 is 150508410.

LCM(27430,27435) = 150508410

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Least Common Multiple of 27430 and 27435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27430 and 27435, than apply into the LCM equation.

GCF(27430,27435) = 5
LCM(27430,27435) = ( 27430 × 27435) / 5
LCM(27430,27435) = 752542050 / 5
LCM(27430,27435) = 150508410

Least Common Multiple (LCM) of 27430 and 27435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27430 and 27435. First we will calculate the prime factors of 27430 and 27435.

Prime Factorization of 27430

Prime factors of 27430 are 2, 5, 13, 211. Prime factorization of 27430 in exponential form is:

27430 = 21 × 51 × 131 × 2111

Prime Factorization of 27435

Prime factors of 27435 are 3, 5, 31, 59. Prime factorization of 27435 in exponential form is:

27435 = 31 × 51 × 311 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 27430 and 27435.

LCM(27430,27435) = 21 × 51 × 131 × 2111 × 31 × 311 × 591
LCM(27430,27435) = 150508410