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What is the Least Common Multiple of 97247 and 97263?

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 97247 and 97263 is 9458534961.

LCM(97247,97263) = 9458534961

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Least Common Multiple of 97247 and 97263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97247 and 97263, than apply into the LCM equation.

GCF(97247,97263) = 1
LCM(97247,97263) = ( 97247 × 97263) / 1
LCM(97247,97263) = 9458534961 / 1
LCM(97247,97263) = 9458534961

Least Common Multiple (LCM) of 97247 and 97263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97247 and 97263. First we will calculate the prime factors of 97247 and 97263.

Prime Factorization of 97247

Prime factors of 97247 are 31, 3137. Prime factorization of 97247 in exponential form is:

97247 = 311 × 31371

Prime Factorization of 97263

Prime factors of 97263 are 3, 101, 107. Prime factorization of 97263 in exponential form is:

97263 = 32 × 1011 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 97247 and 97263.

LCM(97247,97263) = 311 × 31371 × 32 × 1011 × 1071
LCM(97247,97263) = 9458534961