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What is the Least Common Multiple of 60266 and 60286?

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 60266 and 60286 is 1816598038.

LCM(60266,60286) = 1816598038

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Least Common Multiple of 60266 and 60286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60266 and 60286, than apply into the LCM equation.

GCF(60266,60286) = 2
LCM(60266,60286) = ( 60266 × 60286) / 2
LCM(60266,60286) = 3633196076 / 2
LCM(60266,60286) = 1816598038

Least Common Multiple (LCM) of 60266 and 60286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60266 and 60286. First we will calculate the prime factors of 60266 and 60286.

Prime Factorization of 60266

Prime factors of 60266 are 2, 30133. Prime factorization of 60266 in exponential form is:

60266 = 21 × 301331

Prime Factorization of 60286

Prime factors of 60286 are 2, 43, 701. Prime factorization of 60286 in exponential form is:

60286 = 21 × 431 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 60266 and 60286.

LCM(60266,60286) = 21 × 301331 × 431 × 7011
LCM(60266,60286) = 1816598038