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What is the Least Common Multiple of 77360 and 77380?

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 77360 and 77380 is 299305840.

LCM(77360,77380) = 299305840

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Least Common Multiple of 77360 and 77380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77360 and 77380, than apply into the LCM equation.

GCF(77360,77380) = 20
LCM(77360,77380) = ( 77360 × 77380) / 20
LCM(77360,77380) = 5986116800 / 20
LCM(77360,77380) = 299305840

Least Common Multiple (LCM) of 77360 and 77380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77360 and 77380. First we will calculate the prime factors of 77360 and 77380.

Prime Factorization of 77360

Prime factors of 77360 are 2, 5, 967. Prime factorization of 77360 in exponential form is:

77360 = 24 × 51 × 9671

Prime Factorization of 77380

Prime factors of 77380 are 2, 5, 53, 73. Prime factorization of 77380 in exponential form is:

77380 = 22 × 51 × 531 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 77360 and 77380.

LCM(77360,77380) = 24 × 51 × 9671 × 531 × 731
LCM(77360,77380) = 299305840