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What is the Least Common Multiple of 56232 and 56244?

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 56232 and 56244 is 263559384.

LCM(56232,56244) = 263559384

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Least Common Multiple of 56232 and 56244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56232 and 56244, than apply into the LCM equation.

GCF(56232,56244) = 12
LCM(56232,56244) = ( 56232 × 56244) / 12
LCM(56232,56244) = 3162712608 / 12
LCM(56232,56244) = 263559384

Least Common Multiple (LCM) of 56232 and 56244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56232 and 56244. First we will calculate the prime factors of 56232 and 56244.

Prime Factorization of 56232

Prime factors of 56232 are 2, 3, 11, 71. Prime factorization of 56232 in exponential form is:

56232 = 23 × 32 × 111 × 711

Prime Factorization of 56244

Prime factors of 56244 are 2, 3, 43, 109. Prime factorization of 56244 in exponential form is:

56244 = 22 × 31 × 431 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 56232 and 56244.

LCM(56232,56244) = 23 × 32 × 111 × 711 × 431 × 1091
LCM(56232,56244) = 263559384