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What is the Least Common Multiple of 70727 and 70739?

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 70727 and 70739 is 5003157253.

LCM(70727,70739) = 5003157253

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Least Common Multiple of 70727 and 70739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70727 and 70739, than apply into the LCM equation.

GCF(70727,70739) = 1
LCM(70727,70739) = ( 70727 × 70739) / 1
LCM(70727,70739) = 5003157253 / 1
LCM(70727,70739) = 5003157253

Least Common Multiple (LCM) of 70727 and 70739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70727 and 70739. First we will calculate the prime factors of 70727 and 70739.

Prime Factorization of 70727

Prime factors of 70727 are 107, 661. Prime factorization of 70727 in exponential form is:

70727 = 1071 × 6611

Prime Factorization of 70739

Prime factors of 70739 are 127, 557. Prime factorization of 70739 in exponential form is:

70739 = 1271 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 70727 and 70739.

LCM(70727,70739) = 1071 × 6611 × 1271 × 5571
LCM(70727,70739) = 5003157253