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What is the Least Common Multiple of 95045 and 95061?

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 95045 and 95061 is 9035072745.

LCM(95045,95061) = 9035072745

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Least Common Multiple of 95045 and 95061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95045 and 95061, than apply into the LCM equation.

GCF(95045,95061) = 1
LCM(95045,95061) = ( 95045 × 95061) / 1
LCM(95045,95061) = 9035072745 / 1
LCM(95045,95061) = 9035072745

Least Common Multiple (LCM) of 95045 and 95061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95045 and 95061. First we will calculate the prime factors of 95045 and 95061.

Prime Factorization of 95045

Prime factors of 95045 are 5, 19009. Prime factorization of 95045 in exponential form is:

95045 = 51 × 190091

Prime Factorization of 95061

Prime factors of 95061 are 3, 31687. Prime factorization of 95061 in exponential form is:

95061 = 31 × 316871

Now multiplying the highest exponent prime factors to calculate the LCM of 95045 and 95061.

LCM(95045,95061) = 51 × 190091 × 31 × 316871
LCM(95045,95061) = 9035072745