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What is the Least Common Multiple of 95028 and 95040?

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 95028 and 95040 is 752621760.

LCM(95028,95040) = 752621760

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Least Common Multiple of 95028 and 95040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95028 and 95040, than apply into the LCM equation.

GCF(95028,95040) = 12
LCM(95028,95040) = ( 95028 × 95040) / 12
LCM(95028,95040) = 9031461120 / 12
LCM(95028,95040) = 752621760

Least Common Multiple (LCM) of 95028 and 95040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95028 and 95040. First we will calculate the prime factors of 95028 and 95040.

Prime Factorization of 95028

Prime factors of 95028 are 2, 3, 7919. Prime factorization of 95028 in exponential form is:

95028 = 22 × 31 × 79191

Prime Factorization of 95040

Prime factors of 95040 are 2, 3, 5, 11. Prime factorization of 95040 in exponential form is:

95040 = 26 × 33 × 51 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 95028 and 95040.

LCM(95028,95040) = 26 × 33 × 79191 × 51 × 111
LCM(95028,95040) = 752621760