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What is the Least Common Multiple of 91244 and 91263?

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 91244 and 91263 is 8327201172.

LCM(91244,91263) = 8327201172

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Least Common Multiple of 91244 and 91263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91244 and 91263, than apply into the LCM equation.

GCF(91244,91263) = 1
LCM(91244,91263) = ( 91244 × 91263) / 1
LCM(91244,91263) = 8327201172 / 1
LCM(91244,91263) = 8327201172

Least Common Multiple (LCM) of 91244 and 91263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91244 and 91263. First we will calculate the prime factors of 91244 and 91263.

Prime Factorization of 91244

Prime factors of 91244 are 2, 22811. Prime factorization of 91244 in exponential form is:

91244 = 22 × 228111

Prime Factorization of 91263

Prime factors of 91263 are 3, 29, 1049. Prime factorization of 91263 in exponential form is:

91263 = 31 × 291 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 91244 and 91263.

LCM(91244,91263) = 22 × 228111 × 31 × 291 × 10491
LCM(91244,91263) = 8327201172