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What is the Least Common Multiple of 81220 and 81236?

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 81220 and 81236 is 1649496980.

LCM(81220,81236) = 1649496980

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Least Common Multiple of 81220 and 81236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81220 and 81236, than apply into the LCM equation.

GCF(81220,81236) = 4
LCM(81220,81236) = ( 81220 × 81236) / 4
LCM(81220,81236) = 6597987920 / 4
LCM(81220,81236) = 1649496980

Least Common Multiple (LCM) of 81220 and 81236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81220 and 81236. First we will calculate the prime factors of 81220 and 81236.

Prime Factorization of 81220

Prime factors of 81220 are 2, 5, 31, 131. Prime factorization of 81220 in exponential form is:

81220 = 22 × 51 × 311 × 1311

Prime Factorization of 81236

Prime factors of 81236 are 2, 23, 883. Prime factorization of 81236 in exponential form is:

81236 = 22 × 231 × 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 81220 and 81236.

LCM(81220,81236) = 22 × 51 × 311 × 1311 × 231 × 8831
LCM(81220,81236) = 1649496980