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What is the Least Common Multiple of 67461 and 67468?

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 67461 and 67468 is 4551458748.

LCM(67461,67468) = 4551458748

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Least Common Multiple of 67461 and 67468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67461 and 67468, than apply into the LCM equation.

GCF(67461,67468) = 1
LCM(67461,67468) = ( 67461 × 67468) / 1
LCM(67461,67468) = 4551458748 / 1
LCM(67461,67468) = 4551458748

Least Common Multiple (LCM) of 67461 and 67468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67461 and 67468. First we will calculate the prime factors of 67461 and 67468.

Prime Factorization of 67461

Prime factors of 67461 are 3, 113, 199. Prime factorization of 67461 in exponential form is:

67461 = 31 × 1131 × 1991

Prime Factorization of 67468

Prime factors of 67468 are 2, 101, 167. Prime factorization of 67468 in exponential form is:

67468 = 22 × 1011 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 67461 and 67468.

LCM(67461,67468) = 31 × 1131 × 1991 × 22 × 1011 × 1671
LCM(67461,67468) = 4551458748