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What is the Least Common Multiple of 42409 and 42428?

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 42409 and 42428 is 1799329052.

LCM(42409,42428) = 1799329052

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Least Common Multiple of 42409 and 42428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42409 and 42428, than apply into the LCM equation.

GCF(42409,42428) = 1
LCM(42409,42428) = ( 42409 × 42428) / 1
LCM(42409,42428) = 1799329052 / 1
LCM(42409,42428) = 1799329052

Least Common Multiple (LCM) of 42409 and 42428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42409 and 42428. First we will calculate the prime factors of 42409 and 42428.

Prime Factorization of 42409

Prime factors of 42409 are 42409. Prime factorization of 42409 in exponential form is:

42409 = 424091

Prime Factorization of 42428

Prime factors of 42428 are 2, 10607. Prime factorization of 42428 in exponential form is:

42428 = 22 × 106071

Now multiplying the highest exponent prime factors to calculate the LCM of 42409 and 42428.

LCM(42409,42428) = 424091 × 22 × 106071
LCM(42409,42428) = 1799329052