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What is the Least Common Multiple of 60903 and 60917?

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 60903 and 60917 is 3710028051.

LCM(60903,60917) = 3710028051

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Least Common Multiple of 60903 and 60917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60903 and 60917, than apply into the LCM equation.

GCF(60903,60917) = 1
LCM(60903,60917) = ( 60903 × 60917) / 1
LCM(60903,60917) = 3710028051 / 1
LCM(60903,60917) = 3710028051

Least Common Multiple (LCM) of 60903 and 60917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60903 and 60917. First we will calculate the prime factors of 60903 and 60917.

Prime Factorization of 60903

Prime factors of 60903 are 3, 67, 101. Prime factorization of 60903 in exponential form is:

60903 = 32 × 671 × 1011

Prime Factorization of 60917

Prime factors of 60917 are 60917. Prime factorization of 60917 in exponential form is:

60917 = 609171

Now multiplying the highest exponent prime factors to calculate the LCM of 60903 and 60917.

LCM(60903,60917) = 32 × 671 × 1011 × 609171
LCM(60903,60917) = 3710028051