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What is the Least Common Multiple of 64380 and 64398?

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 64380 and 64398 is 690990540.

LCM(64380,64398) = 690990540

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Least Common Multiple of 64380 and 64398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64380 and 64398, than apply into the LCM equation.

GCF(64380,64398) = 6
LCM(64380,64398) = ( 64380 × 64398) / 6
LCM(64380,64398) = 4145943240 / 6
LCM(64380,64398) = 690990540

Least Common Multiple (LCM) of 64380 and 64398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64380 and 64398. First we will calculate the prime factors of 64380 and 64398.

Prime Factorization of 64380

Prime factors of 64380 are 2, 3, 5, 29, 37. Prime factorization of 64380 in exponential form is:

64380 = 22 × 31 × 51 × 291 × 371

Prime Factorization of 64398

Prime factors of 64398 are 2, 3, 10733. Prime factorization of 64398 in exponential form is:

64398 = 21 × 31 × 107331

Now multiplying the highest exponent prime factors to calculate the LCM of 64380 and 64398.

LCM(64380,64398) = 22 × 31 × 51 × 291 × 371 × 107331
LCM(64380,64398) = 690990540