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What is the Least Common Multiple of 95240 and 95244?

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 95240 and 95244 is 2267759640.

LCM(95240,95244) = 2267759640

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Least Common Multiple of 95240 and 95244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95240 and 95244, than apply into the LCM equation.

GCF(95240,95244) = 4
LCM(95240,95244) = ( 95240 × 95244) / 4
LCM(95240,95244) = 9071038560 / 4
LCM(95240,95244) = 2267759640

Least Common Multiple (LCM) of 95240 and 95244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95240 and 95244. First we will calculate the prime factors of 95240 and 95244.

Prime Factorization of 95240

Prime factors of 95240 are 2, 5, 2381. Prime factorization of 95240 in exponential form is:

95240 = 23 × 51 × 23811

Prime Factorization of 95244

Prime factors of 95244 are 2, 3, 7937. Prime factorization of 95244 in exponential form is:

95244 = 22 × 31 × 79371

Now multiplying the highest exponent prime factors to calculate the LCM of 95240 and 95244.

LCM(95240,95244) = 23 × 51 × 23811 × 31 × 79371
LCM(95240,95244) = 2267759640