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What is the Least Common Multiple of 60913 and 60924?

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 60913 and 60924 is 3711063612.

LCM(60913,60924) = 3711063612

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Least Common Multiple of 60913 and 60924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60913 and 60924, than apply into the LCM equation.

GCF(60913,60924) = 1
LCM(60913,60924) = ( 60913 × 60924) / 1
LCM(60913,60924) = 3711063612 / 1
LCM(60913,60924) = 3711063612

Least Common Multiple (LCM) of 60913 and 60924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60913 and 60924. First we will calculate the prime factors of 60913 and 60924.

Prime Factorization of 60913

Prime factors of 60913 are 60913. Prime factorization of 60913 in exponential form is:

60913 = 609131

Prime Factorization of 60924

Prime factors of 60924 are 2, 3, 5077. Prime factorization of 60924 in exponential form is:

60924 = 22 × 31 × 50771

Now multiplying the highest exponent prime factors to calculate the LCM of 60913 and 60924.

LCM(60913,60924) = 609131 × 22 × 31 × 50771
LCM(60913,60924) = 3711063612