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What is the Least Common Multiple of 60038 and 60043?

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 60038 and 60043 is 3604861634.

LCM(60038,60043) = 3604861634

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Least Common Multiple of 60038 and 60043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60038 and 60043, than apply into the LCM equation.

GCF(60038,60043) = 1
LCM(60038,60043) = ( 60038 × 60043) / 1
LCM(60038,60043) = 3604861634 / 1
LCM(60038,60043) = 3604861634

Least Common Multiple (LCM) of 60038 and 60043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60038 and 60043. First we will calculate the prime factors of 60038 and 60043.

Prime Factorization of 60038

Prime factors of 60038 are 2, 11, 2729. Prime factorization of 60038 in exponential form is:

60038 = 21 × 111 × 27291

Prime Factorization of 60043

Prime factors of 60043 are 97, 619. Prime factorization of 60043 in exponential form is:

60043 = 971 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 60038 and 60043.

LCM(60038,60043) = 21 × 111 × 27291 × 971 × 6191
LCM(60038,60043) = 3604861634