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What is the Least Common Multiple of 64759 and 64779?

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 64759 and 64779 is 4195023261.

LCM(64759,64779) = 4195023261

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Least Common Multiple of 64759 and 64779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64759 and 64779, than apply into the LCM equation.

GCF(64759,64779) = 1
LCM(64759,64779) = ( 64759 × 64779) / 1
LCM(64759,64779) = 4195023261 / 1
LCM(64759,64779) = 4195023261

Least Common Multiple (LCM) of 64759 and 64779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64759 and 64779. First we will calculate the prime factors of 64759 and 64779.

Prime Factorization of 64759

Prime factors of 64759 are 31, 2089. Prime factorization of 64759 in exponential form is:

64759 = 311 × 20891

Prime Factorization of 64779

Prime factors of 64779 are 3, 11, 13, 151. Prime factorization of 64779 in exponential form is:

64779 = 31 × 111 × 131 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 64759 and 64779.

LCM(64759,64779) = 311 × 20891 × 31 × 111 × 131 × 1511
LCM(64759,64779) = 4195023261