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What is the Least Common Multiple of 40551 and 40567?

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 40551 and 40567 is 1645032417.

LCM(40551,40567) = 1645032417

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Least Common Multiple of 40551 and 40567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40551 and 40567, than apply into the LCM equation.

GCF(40551,40567) = 1
LCM(40551,40567) = ( 40551 × 40567) / 1
LCM(40551,40567) = 1645032417 / 1
LCM(40551,40567) = 1645032417

Least Common Multiple (LCM) of 40551 and 40567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40551 and 40567. First we will calculate the prime factors of 40551 and 40567.

Prime Factorization of 40551

Prime factors of 40551 are 3, 7, 1931. Prime factorization of 40551 in exponential form is:

40551 = 31 × 71 × 19311

Prime Factorization of 40567

Prime factors of 40567 are 113, 359. Prime factorization of 40567 in exponential form is:

40567 = 1131 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 40551 and 40567.

LCM(40551,40567) = 31 × 71 × 19311 × 1131 × 3591
LCM(40551,40567) = 1645032417