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What is the Least Common Multiple of 7739 and 7759?

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 7739 and 7759 is 60046901.

LCM(7739,7759) = 60046901

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Least Common Multiple of 7739 and 7759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7739 and 7759, than apply into the LCM equation.

GCF(7739,7759) = 1
LCM(7739,7759) = ( 7739 × 7759) / 1
LCM(7739,7759) = 60046901 / 1
LCM(7739,7759) = 60046901

Least Common Multiple (LCM) of 7739 and 7759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7739 and 7759. First we will calculate the prime factors of 7739 and 7759.

Prime Factorization of 7739

Prime factors of 7739 are 71, 109. Prime factorization of 7739 in exponential form is:

7739 = 711 × 1091

Prime Factorization of 7759

Prime factors of 7759 are 7759. Prime factorization of 7759 in exponential form is:

7759 = 77591

Now multiplying the highest exponent prime factors to calculate the LCM of 7739 and 7759.

LCM(7739,7759) = 711 × 1091 × 77591
LCM(7739,7759) = 60046901