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What is the Least Common Multiple of 68648 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 68648 and 68660 is 1178342920.

LCM(68648,68660) = 1178342920

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Least Common Multiple of 68648 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 68648 and 68660, than apply into the LCM equation.

GCF(68648,68660) = 4
LCM(68648,68660) = ( 68648 × 68660) / 4
LCM(68648,68660) = 4713371680 / 4
LCM(68648,68660) = 1178342920

Least Common Multiple (LCM) of 68648 and 68660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68648 and 68660. First we will calculate the prime factors of 68648 and 68660.

Prime Factorization of 68648

Prime factors of 68648 are 2, 8581. Prime factorization of 68648 in exponential form is:

68648 = 23 × 85811

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 68648 and 68660.

LCM(68648,68660) = 23 × 85811 × 51 × 34331
LCM(68648,68660) = 1178342920