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What is the Least Common Multiple of 69197 and 69215?

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 69197 and 69215 is 4789470355.

LCM(69197,69215) = 4789470355

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Least Common Multiple of 69197 and 69215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69197 and 69215, than apply into the LCM equation.

GCF(69197,69215) = 1
LCM(69197,69215) = ( 69197 × 69215) / 1
LCM(69197,69215) = 4789470355 / 1
LCM(69197,69215) = 4789470355

Least Common Multiple (LCM) of 69197 and 69215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69197 and 69215. First we will calculate the prime factors of 69197 and 69215.

Prime Factorization of 69197

Prime factors of 69197 are 69197. Prime factorization of 69197 in exponential form is:

69197 = 691971

Prime Factorization of 69215

Prime factors of 69215 are 5, 109, 127. Prime factorization of 69215 in exponential form is:

69215 = 51 × 1091 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 69197 and 69215.

LCM(69197,69215) = 691971 × 51 × 1091 × 1271
LCM(69197,69215) = 4789470355