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What is the Least Common Multiple of 56628 and 56632?

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 56628 and 56632 is 801739224.

LCM(56628,56632) = 801739224

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Least Common Multiple of 56628 and 56632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56628 and 56632, than apply into the LCM equation.

GCF(56628,56632) = 4
LCM(56628,56632) = ( 56628 × 56632) / 4
LCM(56628,56632) = 3206956896 / 4
LCM(56628,56632) = 801739224

Least Common Multiple (LCM) of 56628 and 56632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56628 and 56632. First we will calculate the prime factors of 56628 and 56632.

Prime Factorization of 56628

Prime factors of 56628 are 2, 3, 11, 13. Prime factorization of 56628 in exponential form is:

56628 = 22 × 32 × 112 × 131

Prime Factorization of 56632

Prime factors of 56632 are 2, 7079. Prime factorization of 56632 in exponential form is:

56632 = 23 × 70791

Now multiplying the highest exponent prime factors to calculate the LCM of 56628 and 56632.

LCM(56628,56632) = 23 × 32 × 112 × 131 × 70791
LCM(56628,56632) = 801739224