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What is the Least Common Multiple of 68646 and 68660?

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 68646 and 68660 is 2356617180.

LCM(68646,68660) = 2356617180

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Least Common Multiple of 68646 and 68660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68646 and 68660, than apply into the LCM equation.

GCF(68646,68660) = 2
LCM(68646,68660) = ( 68646 × 68660) / 2
LCM(68646,68660) = 4713234360 / 2
LCM(68646,68660) = 2356617180

Least Common Multiple (LCM) of 68646 and 68660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68646 and 68660. First we will calculate the prime factors of 68646 and 68660.

Prime Factorization of 68646

Prime factors of 68646 are 2, 3, 17, 673. Prime factorization of 68646 in exponential form is:

68646 = 21 × 31 × 171 × 6731

Prime Factorization of 68660

Prime factors of 68660 are 2, 5, 3433. Prime factorization of 68660 in exponential form is:

68660 = 22 × 51 × 34331

Now multiplying the highest exponent prime factors to calculate the LCM of 68646 and 68660.

LCM(68646,68660) = 22 × 31 × 171 × 6731 × 51 × 34331
LCM(68646,68660) = 2356617180