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What is the Least Common Multiple of 95240 and 95246?

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 95246 is 4535614520.

LCM(95240,95246) = 4535614520

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Least Common Multiple of 95240 and 95246 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 95246, than apply into the LCM equation.

GCF(95240,95246) = 2
LCM(95240,95246) = ( 95240 × 95246) / 2
LCM(95240,95246) = 9071229040 / 2
LCM(95240,95246) = 4535614520

Least Common Multiple (LCM) of 95240 and 95246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95240 and 95246. First we will calculate the prime factors of 95240 and 95246.

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 95246

Prime factors of 95246 are 2, 47623. Prime factorization of 95246 in exponential form is:

95246 = 21 × 476231

Now multiplying the highest exponent prime factors to calculate the LCM of 95240 and 95246.

LCM(95240,95246) = 23 × 51 × 23811 × 476231
LCM(95240,95246) = 4535614520