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What is the Least Common Multiple of 95241 and 95250?

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 95241 and 95250 is 3023901750.

LCM(95241,95250) = 3023901750

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Least Common Multiple of 95241 and 95250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95241 and 95250, than apply into the LCM equation.

GCF(95241,95250) = 3
LCM(95241,95250) = ( 95241 × 95250) / 3
LCM(95241,95250) = 9071705250 / 3
LCM(95241,95250) = 3023901750

Least Common Multiple (LCM) of 95241 and 95250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95241 and 95250. First we will calculate the prime factors of 95241 and 95250.

Prime Factorization of 95241

Prime factors of 95241 are 3, 53, 599. Prime factorization of 95241 in exponential form is:

95241 = 31 × 531 × 5991

Prime Factorization of 95250

Prime factors of 95250 are 2, 3, 5, 127. Prime factorization of 95250 in exponential form is:

95250 = 21 × 31 × 53 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 95241 and 95250.

LCM(95241,95250) = 31 × 531 × 5991 × 21 × 53 × 1271
LCM(95241,95250) = 3023901750