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What is the Least Common Multiple of 67185 and 67202?

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 67185 and 67202 is 4514966370.

LCM(67185,67202) = 4514966370

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Least Common Multiple of 67185 and 67202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67185 and 67202, than apply into the LCM equation.

GCF(67185,67202) = 1
LCM(67185,67202) = ( 67185 × 67202) / 1
LCM(67185,67202) = 4514966370 / 1
LCM(67185,67202) = 4514966370

Least Common Multiple (LCM) of 67185 and 67202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67185 and 67202. First we will calculate the prime factors of 67185 and 67202.

Prime Factorization of 67185

Prime factors of 67185 are 3, 5, 1493. Prime factorization of 67185 in exponential form is:

67185 = 32 × 51 × 14931

Prime Factorization of 67202

Prime factors of 67202 are 2, 33601. Prime factorization of 67202 in exponential form is:

67202 = 21 × 336011

Now multiplying the highest exponent prime factors to calculate the LCM of 67185 and 67202.

LCM(67185,67202) = 32 × 51 × 14931 × 21 × 336011
LCM(67185,67202) = 4514966370