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What is the Least Common Multiple of 60362 and 60370?

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 60362 and 60370 is 1822026970.

LCM(60362,60370) = 1822026970

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Least Common Multiple of 60362 and 60370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60362 and 60370, than apply into the LCM equation.

GCF(60362,60370) = 2
LCM(60362,60370) = ( 60362 × 60370) / 2
LCM(60362,60370) = 3644053940 / 2
LCM(60362,60370) = 1822026970

Least Common Multiple (LCM) of 60362 and 60370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60362 and 60370. First we will calculate the prime factors of 60362 and 60370.

Prime Factorization of 60362

Prime factors of 60362 are 2, 30181. Prime factorization of 60362 in exponential form is:

60362 = 21 × 301811

Prime Factorization of 60370

Prime factors of 60370 are 2, 5, 6037. Prime factorization of 60370 in exponential form is:

60370 = 21 × 51 × 60371

Now multiplying the highest exponent prime factors to calculate the LCM of 60362 and 60370.

LCM(60362,60370) = 21 × 301811 × 51 × 60371
LCM(60362,60370) = 1822026970