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What is the Least Common Multiple of 67086 and 67096?

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 67086 and 67096 is 2250601128.

LCM(67086,67096) = 2250601128

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Least Common Multiple of 67086 and 67096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67086 and 67096, than apply into the LCM equation.

GCF(67086,67096) = 2
LCM(67086,67096) = ( 67086 × 67096) / 2
LCM(67086,67096) = 4501202256 / 2
LCM(67086,67096) = 2250601128

Least Common Multiple (LCM) of 67086 and 67096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67086 and 67096. First we will calculate the prime factors of 67086 and 67096.

Prime Factorization of 67086

Prime factors of 67086 are 2, 3, 3727. Prime factorization of 67086 in exponential form is:

67086 = 21 × 32 × 37271

Prime Factorization of 67096

Prime factors of 67096 are 2, 8387. Prime factorization of 67096 in exponential form is:

67096 = 23 × 83871

Now multiplying the highest exponent prime factors to calculate the LCM of 67086 and 67096.

LCM(67086,67096) = 23 × 32 × 37271 × 83871
LCM(67086,67096) = 2250601128