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What is the Least Common Multiple of 73425 and 73433?

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 73425 and 73433 is 5391818025.

LCM(73425,73433) = 5391818025

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Least Common Multiple of 73425 and 73433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73425 and 73433, than apply into the LCM equation.

GCF(73425,73433) = 1
LCM(73425,73433) = ( 73425 × 73433) / 1
LCM(73425,73433) = 5391818025 / 1
LCM(73425,73433) = 5391818025

Least Common Multiple (LCM) of 73425 and 73433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73425 and 73433. First we will calculate the prime factors of 73425 and 73433.

Prime Factorization of 73425

Prime factors of 73425 are 3, 5, 11, 89. Prime factorization of 73425 in exponential form is:

73425 = 31 × 52 × 111 × 891

Prime Factorization of 73433

Prime factors of 73433 are 73433. Prime factorization of 73433 in exponential form is:

73433 = 734331

Now multiplying the highest exponent prime factors to calculate the LCM of 73425 and 73433.

LCM(73425,73433) = 31 × 52 × 111 × 891 × 734331
LCM(73425,73433) = 5391818025