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What is the Least Common Multiple of 45430 and 45448?

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 45430 and 45448 is 1032351320.

LCM(45430,45448) = 1032351320

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Least Common Multiple of 45430 and 45448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45430 and 45448, than apply into the LCM equation.

GCF(45430,45448) = 2
LCM(45430,45448) = ( 45430 × 45448) / 2
LCM(45430,45448) = 2064702640 / 2
LCM(45430,45448) = 1032351320

Least Common Multiple (LCM) of 45430 and 45448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45430 and 45448. First we will calculate the prime factors of 45430 and 45448.

Prime Factorization of 45430

Prime factors of 45430 are 2, 5, 7, 11, 59. Prime factorization of 45430 in exponential form is:

45430 = 21 × 51 × 71 × 111 × 591

Prime Factorization of 45448

Prime factors of 45448 are 2, 13, 19, 23. Prime factorization of 45448 in exponential form is:

45448 = 23 × 131 × 191 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 45430 and 45448.

LCM(45430,45448) = 23 × 51 × 71 × 111 × 591 × 131 × 191 × 231
LCM(45430,45448) = 1032351320

Related Least Common Multiples of 45430

Related Least Common Multiples of 45448