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What is the Least Common Multiple of 60788 and 60797?

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 60788 and 60797 is 3695728036.

LCM(60788,60797) = 3695728036

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Least Common Multiple of 60788 and 60797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60788 and 60797, than apply into the LCM equation.

GCF(60788,60797) = 1
LCM(60788,60797) = ( 60788 × 60797) / 1
LCM(60788,60797) = 3695728036 / 1
LCM(60788,60797) = 3695728036

Least Common Multiple (LCM) of 60788 and 60797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60788 and 60797. First we will calculate the prime factors of 60788 and 60797.

Prime Factorization of 60788

Prime factors of 60788 are 2, 7, 13, 167. Prime factorization of 60788 in exponential form is:

60788 = 22 × 71 × 131 × 1671

Prime Factorization of 60797

Prime factors of 60797 are 11, 5527. Prime factorization of 60797 in exponential form is:

60797 = 111 × 55271

Now multiplying the highest exponent prime factors to calculate the LCM of 60788 and 60797.

LCM(60788,60797) = 22 × 71 × 131 × 1671 × 111 × 55271
LCM(60788,60797) = 3695728036