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What is the Least Common Multiple of 60788 and 60793?

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 60793 is 3695484884.

LCM(60788,60793) = 3695484884

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Least Common Multiple of 60788 and 60793 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 60793, than apply into the LCM equation.

GCF(60788,60793) = 1
LCM(60788,60793) = ( 60788 × 60793) / 1
LCM(60788,60793) = 3695484884 / 1
LCM(60788,60793) = 3695484884

Least Common Multiple (LCM) of 60788 and 60793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60788 and 60793. First we will calculate the prime factors of 60788 and 60793.

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 60793

Prime factors of 60793 are 60793. Prime factorization of 60793 in exponential form is:

60793 = 607931

Now multiplying the highest exponent prime factors to calculate the LCM of 60788 and 60793.

LCM(60788,60793) = 22 × 71 × 131 × 1671 × 607931
LCM(60788,60793) = 3695484884