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What is the Least Common Multiple of 60023 and 60027?

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 60023 and 60027 is 3603000621.

LCM(60023,60027) = 3603000621

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Least Common Multiple of 60023 and 60027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60023 and 60027, than apply into the LCM equation.

GCF(60023,60027) = 1
LCM(60023,60027) = ( 60023 × 60027) / 1
LCM(60023,60027) = 3603000621 / 1
LCM(60023,60027) = 3603000621

Least Common Multiple (LCM) of 60023 and 60027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60023 and 60027. First we will calculate the prime factors of 60023 and 60027.

Prime Factorization of 60023

Prime factors of 60023 are 193, 311. Prime factorization of 60023 in exponential form is:

60023 = 1931 × 3111

Prime Factorization of 60027

Prime factors of 60027 are 3, 11, 17, 107. Prime factorization of 60027 in exponential form is:

60027 = 31 × 111 × 171 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 60023 and 60027.

LCM(60023,60027) = 1931 × 3111 × 31 × 111 × 171 × 1071
LCM(60023,60027) = 3603000621