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What is the Least Common Multiple of 95462 and 95469?

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 95462 and 95469 is 9113661678.

LCM(95462,95469) = 9113661678

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Least Common Multiple of 95462 and 95469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95462 and 95469, than apply into the LCM equation.

GCF(95462,95469) = 1
LCM(95462,95469) = ( 95462 × 95469) / 1
LCM(95462,95469) = 9113661678 / 1
LCM(95462,95469) = 9113661678

Least Common Multiple (LCM) of 95462 and 95469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95462 and 95469. First we will calculate the prime factors of 95462 and 95469.

Prime Factorization of 95462

Prime factors of 95462 are 2, 59, 809. Prime factorization of 95462 in exponential form is:

95462 = 21 × 591 × 8091

Prime Factorization of 95469

Prime factors of 95469 are 3, 11, 263. Prime factorization of 95469 in exponential form is:

95469 = 31 × 112 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 95462 and 95469.

LCM(95462,95469) = 21 × 591 × 8091 × 31 × 112 × 2631
LCM(95462,95469) = 9113661678