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What is the Least Common Multiple of 60479 and 60494?

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 60479 and 60494 is 3658616626.

LCM(60479,60494) = 3658616626

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Least Common Multiple of 60479 and 60494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60479 and 60494, than apply into the LCM equation.

GCF(60479,60494) = 1
LCM(60479,60494) = ( 60479 × 60494) / 1
LCM(60479,60494) = 3658616626 / 1
LCM(60479,60494) = 3658616626

Least Common Multiple (LCM) of 60479 and 60494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60479 and 60494. First we will calculate the prime factors of 60479 and 60494.

Prime Factorization of 60479

Prime factors of 60479 are 197, 307. Prime factorization of 60479 in exponential form is:

60479 = 1971 × 3071

Prime Factorization of 60494

Prime factors of 60494 are 2, 7, 29, 149. Prime factorization of 60494 in exponential form is:

60494 = 21 × 71 × 291 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 60479 and 60494.

LCM(60479,60494) = 1971 × 3071 × 21 × 71 × 291 × 1491
LCM(60479,60494) = 3658616626