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What is the Least Common Multiple of 65220 and 65230?

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 65220 and 65230 is 425430060.

LCM(65220,65230) = 425430060

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Least Common Multiple of 65220 and 65230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65220 and 65230, than apply into the LCM equation.

GCF(65220,65230) = 10
LCM(65220,65230) = ( 65220 × 65230) / 10
LCM(65220,65230) = 4254300600 / 10
LCM(65220,65230) = 425430060

Least Common Multiple (LCM) of 65220 and 65230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65220 and 65230. First we will calculate the prime factors of 65220 and 65230.

Prime Factorization of 65220

Prime factors of 65220 are 2, 3, 5, 1087. Prime factorization of 65220 in exponential form is:

65220 = 22 × 31 × 51 × 10871

Prime Factorization of 65230

Prime factors of 65230 are 2, 5, 11, 593. Prime factorization of 65230 in exponential form is:

65230 = 21 × 51 × 111 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 65220 and 65230.

LCM(65220,65230) = 22 × 31 × 51 × 10871 × 111 × 5931
LCM(65220,65230) = 425430060