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What is the Least Common Multiple of 70453 and 70472?

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 70453 and 70472 is 4964963816.

LCM(70453,70472) = 4964963816

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Least Common Multiple of 70453 and 70472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70453 and 70472, than apply into the LCM equation.

GCF(70453,70472) = 1
LCM(70453,70472) = ( 70453 × 70472) / 1
LCM(70453,70472) = 4964963816 / 1
LCM(70453,70472) = 4964963816

Least Common Multiple (LCM) of 70453 and 70472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70453 and 70472. First we will calculate the prime factors of 70453 and 70472.

Prime Factorization of 70453

Prime factors of 70453 are 47, 1499. Prime factorization of 70453 in exponential form is:

70453 = 471 × 14991

Prime Factorization of 70472

Prime factors of 70472 are 2, 23, 383. Prime factorization of 70472 in exponential form is:

70472 = 23 × 231 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 70453 and 70472.

LCM(70453,70472) = 471 × 14991 × 23 × 231 × 3831
LCM(70453,70472) = 4964963816