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What is the Least Common Multiple of 67534 and 67541?

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 67534 and 67541 is 4561313894.

LCM(67534,67541) = 4561313894

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Least Common Multiple of 67534 and 67541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67534 and 67541, than apply into the LCM equation.

GCF(67534,67541) = 1
LCM(67534,67541) = ( 67534 × 67541) / 1
LCM(67534,67541) = 4561313894 / 1
LCM(67534,67541) = 4561313894

Least Common Multiple (LCM) of 67534 and 67541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67534 and 67541. First we will calculate the prime factors of 67534 and 67541.

Prime Factorization of 67534

Prime factors of 67534 are 2, 33767. Prime factorization of 67534 in exponential form is:

67534 = 21 × 337671

Prime Factorization of 67541

Prime factors of 67541 are 17, 29, 137. Prime factorization of 67541 in exponential form is:

67541 = 171 × 291 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 67534 and 67541.

LCM(67534,67541) = 21 × 337671 × 171 × 291 × 1371
LCM(67534,67541) = 4561313894