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What is the Least Common Multiple of 28495 and 28503?

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 28495 and 28503 is 812192985.

LCM(28495,28503) = 812192985

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Least Common Multiple of 28495 and 28503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28495 and 28503, than apply into the LCM equation.

GCF(28495,28503) = 1
LCM(28495,28503) = ( 28495 × 28503) / 1
LCM(28495,28503) = 812192985 / 1
LCM(28495,28503) = 812192985

Least Common Multiple (LCM) of 28495 and 28503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28495 and 28503. First we will calculate the prime factors of 28495 and 28503.

Prime Factorization of 28495

Prime factors of 28495 are 5, 41, 139. Prime factorization of 28495 in exponential form is:

28495 = 51 × 411 × 1391

Prime Factorization of 28503

Prime factors of 28503 are 3, 3167. Prime factorization of 28503 in exponential form is:

28503 = 32 × 31671

Now multiplying the highest exponent prime factors to calculate the LCM of 28495 and 28503.

LCM(28495,28503) = 51 × 411 × 1391 × 32 × 31671
LCM(28495,28503) = 812192985