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What is the Least Common Multiple of 68436 and 68440?

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 68436 and 68440 is 1170939960.

LCM(68436,68440) = 1170939960

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Least Common Multiple of 68436 and 68440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68436 and 68440, than apply into the LCM equation.

GCF(68436,68440) = 4
LCM(68436,68440) = ( 68436 × 68440) / 4
LCM(68436,68440) = 4683759840 / 4
LCM(68436,68440) = 1170939960

Least Common Multiple (LCM) of 68436 and 68440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68436 and 68440. First we will calculate the prime factors of 68436 and 68440.

Prime Factorization of 68436

Prime factors of 68436 are 2, 3, 1901. Prime factorization of 68436 in exponential form is:

68436 = 22 × 32 × 19011

Prime Factorization of 68440

Prime factors of 68440 are 2, 5, 29, 59. Prime factorization of 68440 in exponential form is:

68440 = 23 × 51 × 291 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 68436 and 68440.

LCM(68436,68440) = 23 × 32 × 19011 × 51 × 291 × 591
LCM(68436,68440) = 1170939960