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What is the Least Common Multiple of 60852 and 60863?

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 60852 and 60863 is 336694116.

LCM(60852,60863) = 336694116

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Least Common Multiple of 60852 and 60863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60852 and 60863, than apply into the LCM equation.

GCF(60852,60863) = 11
LCM(60852,60863) = ( 60852 × 60863) / 11
LCM(60852,60863) = 3703635276 / 11
LCM(60852,60863) = 336694116

Least Common Multiple (LCM) of 60852 and 60863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60852 and 60863. First we will calculate the prime factors of 60852 and 60863.

Prime Factorization of 60852

Prime factors of 60852 are 2, 3, 11, 461. Prime factorization of 60852 in exponential form is:

60852 = 22 × 31 × 111 × 4611

Prime Factorization of 60863

Prime factors of 60863 are 11, 503. Prime factorization of 60863 in exponential form is:

60863 = 112 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 60852 and 60863.

LCM(60852,60863) = 22 × 31 × 112 × 4611 × 5031
LCM(60852,60863) = 336694116