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What is the Least Common Multiple of 95234 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 95234 and 95246 is 4535328782.

LCM(95234,95246) = 4535328782

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Least Common Multiple of 95234 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 95234 and 95246, than apply into the LCM equation.

GCF(95234,95246) = 2
LCM(95234,95246) = ( 95234 × 95246) / 2
LCM(95234,95246) = 9070657564 / 2
LCM(95234,95246) = 4535328782

Least Common Multiple (LCM) of 95234 and 95246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95234 and 95246. First we will calculate the prime factors of 95234 and 95246.

Prime Factorization of 95234

Prime factors of 95234 are 2, 17, 2801. Prime factorization of 95234 in exponential form is:

95234 = 21 × 171 × 28011

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 95234 and 95246.

LCM(95234,95246) = 21 × 171 × 28011 × 476231
LCM(95234,95246) = 4535328782