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What is the Least Common Multiple of 70402 and 70411?

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 70402 and 70411 is 4957075222.

LCM(70402,70411) = 4957075222

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Least Common Multiple of 70402 and 70411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70402 and 70411, than apply into the LCM equation.

GCF(70402,70411) = 1
LCM(70402,70411) = ( 70402 × 70411) / 1
LCM(70402,70411) = 4957075222 / 1
LCM(70402,70411) = 4957075222

Least Common Multiple (LCM) of 70402 and 70411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70402 and 70411. First we will calculate the prime factors of 70402 and 70411.

Prime Factorization of 70402

Prime factors of 70402 are 2, 35201. Prime factorization of 70402 in exponential form is:

70402 = 21 × 352011

Prime Factorization of 70411

Prime factors of 70411 are 11, 37, 173. Prime factorization of 70411 in exponential form is:

70411 = 111 × 371 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 70402 and 70411.

LCM(70402,70411) = 21 × 352011 × 111 × 371 × 1731
LCM(70402,70411) = 4957075222