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What is the Least Common Multiple of 88825 and 88842?

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 88825 and 88842 is 464199450.

LCM(88825,88842) = 464199450

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Least Common Multiple of 88825 and 88842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88825 and 88842, than apply into the LCM equation.

GCF(88825,88842) = 17
LCM(88825,88842) = ( 88825 × 88842) / 17
LCM(88825,88842) = 7891390650 / 17
LCM(88825,88842) = 464199450

Least Common Multiple (LCM) of 88825 and 88842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88825 and 88842. First we will calculate the prime factors of 88825 and 88842.

Prime Factorization of 88825

Prime factors of 88825 are 5, 11, 17, 19. Prime factorization of 88825 in exponential form is:

88825 = 52 × 111 × 171 × 191

Prime Factorization of 88842

Prime factors of 88842 are 2, 3, 13, 17, 67. Prime factorization of 88842 in exponential form is:

88842 = 21 × 31 × 131 × 171 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 88825 and 88842.

LCM(88825,88842) = 52 × 111 × 171 × 191 × 21 × 31 × 131 × 671
LCM(88825,88842) = 464199450

Related Least Common Multiples of 88825

Related Least Common Multiples of 88842