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What is the Least Common Multiple of 66360 and 66380?

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 66360 and 66380 is 220248840.

LCM(66360,66380) = 220248840

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Least Common Multiple of 66360 and 66380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66360 and 66380, than apply into the LCM equation.

GCF(66360,66380) = 20
LCM(66360,66380) = ( 66360 × 66380) / 20
LCM(66360,66380) = 4404976800 / 20
LCM(66360,66380) = 220248840

Least Common Multiple (LCM) of 66360 and 66380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66360 and 66380. First we will calculate the prime factors of 66360 and 66380.

Prime Factorization of 66360

Prime factors of 66360 are 2, 3, 5, 7, 79. Prime factorization of 66360 in exponential form is:

66360 = 23 × 31 × 51 × 71 × 791

Prime Factorization of 66380

Prime factors of 66380 are 2, 5, 3319. Prime factorization of 66380 in exponential form is:

66380 = 22 × 51 × 33191

Now multiplying the highest exponent prime factors to calculate the LCM of 66360 and 66380.

LCM(66360,66380) = 23 × 31 × 51 × 71 × 791 × 33191
LCM(66360,66380) = 220248840