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What is the Least Common Multiple of 31220 and 31231?

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 31220 and 31231 is 975031820.

LCM(31220,31231) = 975031820

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Least Common Multiple of 31220 and 31231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31220 and 31231, than apply into the LCM equation.

GCF(31220,31231) = 1
LCM(31220,31231) = ( 31220 × 31231) / 1
LCM(31220,31231) = 975031820 / 1
LCM(31220,31231) = 975031820

Least Common Multiple (LCM) of 31220 and 31231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31220 and 31231. First we will calculate the prime factors of 31220 and 31231.

Prime Factorization of 31220

Prime factors of 31220 are 2, 5, 7, 223. Prime factorization of 31220 in exponential form is:

31220 = 22 × 51 × 71 × 2231

Prime Factorization of 31231

Prime factors of 31231 are 31231. Prime factorization of 31231 in exponential form is:

31231 = 312311

Now multiplying the highest exponent prime factors to calculate the LCM of 31220 and 31231.

LCM(31220,31231) = 22 × 51 × 71 × 2231 × 312311
LCM(31220,31231) = 975031820