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What is the Least Common Multiple of 60777 and 60788?

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 60777 and 60788 is 3694512276.

LCM(60777,60788) = 3694512276

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Least Common Multiple of 60777 and 60788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60777 and 60788, than apply into the LCM equation.

GCF(60777,60788) = 1
LCM(60777,60788) = ( 60777 × 60788) / 1
LCM(60777,60788) = 3694512276 / 1
LCM(60777,60788) = 3694512276

Least Common Multiple (LCM) of 60777 and 60788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60777 and 60788. First we will calculate the prime factors of 60777 and 60788.

Prime Factorization of 60777

Prime factors of 60777 are 3, 2251. Prime factorization of 60777 in exponential form is:

60777 = 33 × 22511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 60777 and 60788.

LCM(60777,60788) = 33 × 22511 × 22 × 71 × 131 × 1671
LCM(60777,60788) = 3694512276