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What is the Least Common Multiple of 70527 and 70537?

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 70527 and 70537 is 4974762999.

LCM(70527,70537) = 4974762999

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Least Common Multiple of 70527 and 70537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70527 and 70537, than apply into the LCM equation.

GCF(70527,70537) = 1
LCM(70527,70537) = ( 70527 × 70537) / 1
LCM(70527,70537) = 4974762999 / 1
LCM(70527,70537) = 4974762999

Least Common Multiple (LCM) of 70527 and 70537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70527 and 70537. First we will calculate the prime factors of 70527 and 70537.

Prime Factorization of 70527

Prime factors of 70527 are 3, 23509. Prime factorization of 70527 in exponential form is:

70527 = 31 × 235091

Prime Factorization of 70537

Prime factors of 70537 are 70537. Prime factorization of 70537 in exponential form is:

70537 = 705371

Now multiplying the highest exponent prime factors to calculate the LCM of 70527 and 70537.

LCM(70527,70537) = 31 × 235091 × 705371
LCM(70527,70537) = 4974762999