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What is the Least Common Multiple of 67621 and 67640?

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 67621 and 67640 is 240730760.

LCM(67621,67640) = 240730760

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Least Common Multiple of 67621 and 67640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67621 and 67640, than apply into the LCM equation.

GCF(67621,67640) = 19
LCM(67621,67640) = ( 67621 × 67640) / 19
LCM(67621,67640) = 4573884440 / 19
LCM(67621,67640) = 240730760

Least Common Multiple (LCM) of 67621 and 67640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67621 and 67640. First we will calculate the prime factors of 67621 and 67640.

Prime Factorization of 67621

Prime factors of 67621 are 19, 3559. Prime factorization of 67621 in exponential form is:

67621 = 191 × 35591

Prime Factorization of 67640

Prime factors of 67640 are 2, 5, 19, 89. Prime factorization of 67640 in exponential form is:

67640 = 23 × 51 × 191 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 67621 and 67640.

LCM(67621,67640) = 191 × 35591 × 23 × 51 × 891
LCM(67621,67640) = 240730760