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What is the Least Common Multiple of 67737 and 67750?

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 67737 and 67750 is 4589181750.

LCM(67737,67750) = 4589181750

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Least Common Multiple of 67737 and 67750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67737 and 67750, than apply into the LCM equation.

GCF(67737,67750) = 1
LCM(67737,67750) = ( 67737 × 67750) / 1
LCM(67737,67750) = 4589181750 / 1
LCM(67737,67750) = 4589181750

Least Common Multiple (LCM) of 67737 and 67750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67737 and 67750. First we will calculate the prime factors of 67737 and 67750.

Prime Factorization of 67737

Prime factors of 67737 are 3, 67, 337. Prime factorization of 67737 in exponential form is:

67737 = 31 × 671 × 3371

Prime Factorization of 67750

Prime factors of 67750 are 2, 5, 271. Prime factorization of 67750 in exponential form is:

67750 = 21 × 53 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 67737 and 67750.

LCM(67737,67750) = 31 × 671 × 3371 × 21 × 53 × 2711
LCM(67737,67750) = 4589181750