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What is the Least Common Multiple of 86248 and 86263?

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 86248 and 86263 is 7440011224.

LCM(86248,86263) = 7440011224

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Least Common Multiple of 86248 and 86263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86248 and 86263, than apply into the LCM equation.

GCF(86248,86263) = 1
LCM(86248,86263) = ( 86248 × 86263) / 1
LCM(86248,86263) = 7440011224 / 1
LCM(86248,86263) = 7440011224

Least Common Multiple (LCM) of 86248 and 86263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86248 and 86263. First we will calculate the prime factors of 86248 and 86263.

Prime Factorization of 86248

Prime factors of 86248 are 2, 10781. Prime factorization of 86248 in exponential form is:

86248 = 23 × 107811

Prime Factorization of 86263

Prime factors of 86263 are 86263. Prime factorization of 86263 in exponential form is:

86263 = 862631

Now multiplying the highest exponent prime factors to calculate the LCM of 86248 and 86263.

LCM(86248,86263) = 23 × 107811 × 862631
LCM(86248,86263) = 7440011224