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What is the Least Common Multiple of 95270 and 95282?

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 95270 and 95282 is 4538758070.

LCM(95270,95282) = 4538758070

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Least Common Multiple of 95270 and 95282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95270 and 95282, than apply into the LCM equation.

GCF(95270,95282) = 2
LCM(95270,95282) = ( 95270 × 95282) / 2
LCM(95270,95282) = 9077516140 / 2
LCM(95270,95282) = 4538758070

Least Common Multiple (LCM) of 95270 and 95282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95270 and 95282. First we will calculate the prime factors of 95270 and 95282.

Prime Factorization of 95270

Prime factors of 95270 are 2, 5, 7, 1361. Prime factorization of 95270 in exponential form is:

95270 = 21 × 51 × 71 × 13611

Prime Factorization of 95282

Prime factors of 95282 are 2, 11, 61, 71. Prime factorization of 95282 in exponential form is:

95282 = 21 × 111 × 611 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 95270 and 95282.

LCM(95270,95282) = 21 × 51 × 71 × 13611 × 111 × 611 × 711
LCM(95270,95282) = 4538758070