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What is the Least Common Multiple of 67692 and 67707?

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 67692 and 67707 is 1527740748.

LCM(67692,67707) = 1527740748

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Least Common Multiple of 67692 and 67707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67692 and 67707, than apply into the LCM equation.

GCF(67692,67707) = 3
LCM(67692,67707) = ( 67692 × 67707) / 3
LCM(67692,67707) = 4583222244 / 3
LCM(67692,67707) = 1527740748

Least Common Multiple (LCM) of 67692 and 67707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67692 and 67707. First we will calculate the prime factors of 67692 and 67707.

Prime Factorization of 67692

Prime factors of 67692 are 2, 3, 5641. Prime factorization of 67692 in exponential form is:

67692 = 22 × 31 × 56411

Prime Factorization of 67707

Prime factors of 67707 are 3, 7523. Prime factorization of 67707 in exponential form is:

67707 = 32 × 75231

Now multiplying the highest exponent prime factors to calculate the LCM of 67692 and 67707.

LCM(67692,67707) = 22 × 32 × 56411 × 75231
LCM(67692,67707) = 1527740748