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What is the Least Common Multiple of 95202 and 95218?

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 95202 and 95218 is 4532472018.

LCM(95202,95218) = 4532472018

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Least Common Multiple of 95202 and 95218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95202 and 95218, than apply into the LCM equation.

GCF(95202,95218) = 2
LCM(95202,95218) = ( 95202 × 95218) / 2
LCM(95202,95218) = 9064944036 / 2
LCM(95202,95218) = 4532472018

Least Common Multiple (LCM) of 95202 and 95218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95202 and 95218. First we will calculate the prime factors of 95202 and 95218.

Prime Factorization of 95202

Prime factors of 95202 are 2, 3, 41, 43. Prime factorization of 95202 in exponential form is:

95202 = 21 × 33 × 411 × 431

Prime Factorization of 95218

Prime factors of 95218 are 2, 47609. Prime factorization of 95218 in exponential form is:

95218 = 21 × 476091

Now multiplying the highest exponent prime factors to calculate the LCM of 95202 and 95218.

LCM(95202,95218) = 21 × 33 × 411 × 431 × 476091
LCM(95202,95218) = 4532472018