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What is the Least Common Multiple of 31053 and 31072?

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 31053 and 31072 is 964878816.

LCM(31053,31072) = 964878816

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Least Common Multiple of 31053 and 31072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31053 and 31072, than apply into the LCM equation.

GCF(31053,31072) = 1
LCM(31053,31072) = ( 31053 × 31072) / 1
LCM(31053,31072) = 964878816 / 1
LCM(31053,31072) = 964878816

Least Common Multiple (LCM) of 31053 and 31072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31053 and 31072. First we will calculate the prime factors of 31053 and 31072.

Prime Factorization of 31053

Prime factors of 31053 are 3, 11, 941. Prime factorization of 31053 in exponential form is:

31053 = 31 × 111 × 9411

Prime Factorization of 31072

Prime factors of 31072 are 2, 971. Prime factorization of 31072 in exponential form is:

31072 = 25 × 9711

Now multiplying the highest exponent prime factors to calculate the LCM of 31053 and 31072.

LCM(31053,31072) = 31 × 111 × 9411 × 25 × 9711
LCM(31053,31072) = 964878816