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What is the Least Common Multiple of 43421 and 43437?

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 43421 and 43437 is 1886077977.

LCM(43421,43437) = 1886077977

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Least Common Multiple of 43421 and 43437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43421 and 43437, than apply into the LCM equation.

GCF(43421,43437) = 1
LCM(43421,43437) = ( 43421 × 43437) / 1
LCM(43421,43437) = 1886077977 / 1
LCM(43421,43437) = 1886077977

Least Common Multiple (LCM) of 43421 and 43437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43421 and 43437. First we will calculate the prime factors of 43421 and 43437.

Prime Factorization of 43421

Prime factors of 43421 are 7, 6203. Prime factorization of 43421 in exponential form is:

43421 = 71 × 62031

Prime Factorization of 43437

Prime factors of 43437 are 3, 14479. Prime factorization of 43437 in exponential form is:

43437 = 31 × 144791

Now multiplying the highest exponent prime factors to calculate the LCM of 43421 and 43437.

LCM(43421,43437) = 71 × 62031 × 31 × 144791
LCM(43421,43437) = 1886077977