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What is the Least Common Multiple of 56603 and 56616?

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 56603 and 56616 is 3204635448.

LCM(56603,56616) = 3204635448

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Least Common Multiple of 56603 and 56616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56603 and 56616, than apply into the LCM equation.

GCF(56603,56616) = 1
LCM(56603,56616) = ( 56603 × 56616) / 1
LCM(56603,56616) = 3204635448 / 1
LCM(56603,56616) = 3204635448

Least Common Multiple (LCM) of 56603 and 56616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56603 and 56616. First we will calculate the prime factors of 56603 and 56616.

Prime Factorization of 56603

Prime factors of 56603 are 23, 107. Prime factorization of 56603 in exponential form is:

56603 = 232 × 1071

Prime Factorization of 56616

Prime factors of 56616 are 2, 3, 7, 337. Prime factorization of 56616 in exponential form is:

56616 = 23 × 31 × 71 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 56603 and 56616.

LCM(56603,56616) = 232 × 1071 × 23 × 31 × 71 × 3371
LCM(56603,56616) = 3204635448