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What is the Least Common Multiple of 70758 and 70772?

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 70758 and 70772 is 2503842588.

LCM(70758,70772) = 2503842588

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Least Common Multiple of 70758 and 70772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70758 and 70772, than apply into the LCM equation.

GCF(70758,70772) = 2
LCM(70758,70772) = ( 70758 × 70772) / 2
LCM(70758,70772) = 5007685176 / 2
LCM(70758,70772) = 2503842588

Least Common Multiple (LCM) of 70758 and 70772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70758 and 70772. First we will calculate the prime factors of 70758 and 70772.

Prime Factorization of 70758

Prime factors of 70758 are 2, 3, 3931. Prime factorization of 70758 in exponential form is:

70758 = 21 × 32 × 39311

Prime Factorization of 70772

Prime factors of 70772 are 2, 13, 1361. Prime factorization of 70772 in exponential form is:

70772 = 22 × 131 × 13611

Now multiplying the highest exponent prime factors to calculate the LCM of 70758 and 70772.

LCM(70758,70772) = 22 × 32 × 39311 × 131 × 13611
LCM(70758,70772) = 2503842588