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What is the Least Common Multiple of 60850 and 60859?

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 60850 and 60859 is 3703270150.

LCM(60850,60859) = 3703270150

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Least Common Multiple of 60850 and 60859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60850 and 60859, than apply into the LCM equation.

GCF(60850,60859) = 1
LCM(60850,60859) = ( 60850 × 60859) / 1
LCM(60850,60859) = 3703270150 / 1
LCM(60850,60859) = 3703270150

Least Common Multiple (LCM) of 60850 and 60859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60850 and 60859. First we will calculate the prime factors of 60850 and 60859.

Prime Factorization of 60850

Prime factors of 60850 are 2, 5, 1217. Prime factorization of 60850 in exponential form is:

60850 = 21 × 52 × 12171

Prime Factorization of 60859

Prime factors of 60859 are 60859. Prime factorization of 60859 in exponential form is:

60859 = 608591

Now multiplying the highest exponent prime factors to calculate the LCM of 60850 and 60859.

LCM(60850,60859) = 21 × 52 × 12171 × 608591
LCM(60850,60859) = 3703270150