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What is the Least Common Multiple of 69148 and 69164?

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 69148 and 69164 is 1195638068.

LCM(69148,69164) = 1195638068

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Least Common Multiple of 69148 and 69164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69148 and 69164, than apply into the LCM equation.

GCF(69148,69164) = 4
LCM(69148,69164) = ( 69148 × 69164) / 4
LCM(69148,69164) = 4782552272 / 4
LCM(69148,69164) = 1195638068

Least Common Multiple (LCM) of 69148 and 69164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69148 and 69164. First we will calculate the prime factors of 69148 and 69164.

Prime Factorization of 69148

Prime factors of 69148 are 2, 59, 293. Prime factorization of 69148 in exponential form is:

69148 = 22 × 591 × 2931

Prime Factorization of 69164

Prime factors of 69164 are 2, 17291. Prime factorization of 69164 in exponential form is:

69164 = 22 × 172911

Now multiplying the highest exponent prime factors to calculate the LCM of 69148 and 69164.

LCM(69148,69164) = 22 × 591 × 2931 × 172911
LCM(69148,69164) = 1195638068