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What is the Least Common Multiple of 65350 and 65370?

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 65350 and 65370 is 427192950.

LCM(65350,65370) = 427192950

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Least Common Multiple of 65350 and 65370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65350 and 65370, than apply into the LCM equation.

GCF(65350,65370) = 10
LCM(65350,65370) = ( 65350 × 65370) / 10
LCM(65350,65370) = 4271929500 / 10
LCM(65350,65370) = 427192950

Least Common Multiple (LCM) of 65350 and 65370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65350 and 65370. First we will calculate the prime factors of 65350 and 65370.

Prime Factorization of 65350

Prime factors of 65350 are 2, 5, 1307. Prime factorization of 65350 in exponential form is:

65350 = 21 × 52 × 13071

Prime Factorization of 65370

Prime factors of 65370 are 2, 3, 5, 2179. Prime factorization of 65370 in exponential form is:

65370 = 21 × 31 × 51 × 21791

Now multiplying the highest exponent prime factors to calculate the LCM of 65350 and 65370.

LCM(65350,65370) = 21 × 52 × 13071 × 31 × 21791
LCM(65350,65370) = 427192950