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What is the Least Common Multiple of 45780 and 45799?

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 45780 and 45799 is 2096678220.

LCM(45780,45799) = 2096678220

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Least Common Multiple of 45780 and 45799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45780 and 45799, than apply into the LCM equation.

GCF(45780,45799) = 1
LCM(45780,45799) = ( 45780 × 45799) / 1
LCM(45780,45799) = 2096678220 / 1
LCM(45780,45799) = 2096678220

Least Common Multiple (LCM) of 45780 and 45799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45780 and 45799. First we will calculate the prime factors of 45780 and 45799.

Prime Factorization of 45780

Prime factors of 45780 are 2, 3, 5, 7, 109. Prime factorization of 45780 in exponential form is:

45780 = 22 × 31 × 51 × 71 × 1091

Prime Factorization of 45799

Prime factors of 45799 are 13, 271. Prime factorization of 45799 in exponential form is:

45799 = 132 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 45780 and 45799.

LCM(45780,45799) = 22 × 31 × 51 × 71 × 1091 × 132 × 2711
LCM(45780,45799) = 2096678220