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What is the Least Common Multiple of 60079 and 60092?

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 60079 and 60092 is 3610267268.

LCM(60079,60092) = 3610267268

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Least Common Multiple of 60079 and 60092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60079 and 60092, than apply into the LCM equation.

GCF(60079,60092) = 1
LCM(60079,60092) = ( 60079 × 60092) / 1
LCM(60079,60092) = 3610267268 / 1
LCM(60079,60092) = 3610267268

Least Common Multiple (LCM) of 60079 and 60092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60079 and 60092. First we will calculate the prime factors of 60079 and 60092.

Prime Factorization of 60079

Prime factors of 60079 are 73, 823. Prime factorization of 60079 in exponential form is:

60079 = 731 × 8231

Prime Factorization of 60092

Prime factors of 60092 are 2, 83, 181. Prime factorization of 60092 in exponential form is:

60092 = 22 × 831 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 60079 and 60092.

LCM(60079,60092) = 731 × 8231 × 22 × 831 × 1811
LCM(60079,60092) = 3610267268