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What is the Least Common Multiple of 56606 and 56615?

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 56606 and 56615 is 3204748690.

LCM(56606,56615) = 3204748690

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Least Common Multiple of 56606 and 56615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56606 and 56615, than apply into the LCM equation.

GCF(56606,56615) = 1
LCM(56606,56615) = ( 56606 × 56615) / 1
LCM(56606,56615) = 3204748690 / 1
LCM(56606,56615) = 3204748690

Least Common Multiple (LCM) of 56606 and 56615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56606 and 56615. First we will calculate the prime factors of 56606 and 56615.

Prime Factorization of 56606

Prime factors of 56606 are 2, 11, 31, 83. Prime factorization of 56606 in exponential form is:

56606 = 21 × 111 × 311 × 831

Prime Factorization of 56615

Prime factors of 56615 are 5, 13, 67. Prime factorization of 56615 in exponential form is:

56615 = 51 × 132 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 56606 and 56615.

LCM(56606,56615) = 21 × 111 × 311 × 831 × 51 × 132 × 671
LCM(56606,56615) = 3204748690