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What is the Least Common Multiple of 95090 and 95106?

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 95090 and 95106 is 4521814770.

LCM(95090,95106) = 4521814770

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Least Common Multiple of 95090 and 95106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95090 and 95106, than apply into the LCM equation.

GCF(95090,95106) = 2
LCM(95090,95106) = ( 95090 × 95106) / 2
LCM(95090,95106) = 9043629540 / 2
LCM(95090,95106) = 4521814770

Least Common Multiple (LCM) of 95090 and 95106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95090 and 95106. First we will calculate the prime factors of 95090 and 95106.

Prime Factorization of 95090

Prime factors of 95090 are 2, 5, 37, 257. Prime factorization of 95090 in exponential form is:

95090 = 21 × 51 × 371 × 2571

Prime Factorization of 95106

Prime factors of 95106 are 2, 3, 11, 131. Prime factorization of 95106 in exponential form is:

95106 = 21 × 31 × 112 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 95090 and 95106.

LCM(95090,95106) = 21 × 51 × 371 × 2571 × 31 × 112 × 1311
LCM(95090,95106) = 4521814770