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What is the Least Common Multiple of 88196 and 88207?

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 88196 and 88207 is 7779504572.

LCM(88196,88207) = 7779504572

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Least Common Multiple of 88196 and 88207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88196 and 88207, than apply into the LCM equation.

GCF(88196,88207) = 1
LCM(88196,88207) = ( 88196 × 88207) / 1
LCM(88196,88207) = 7779504572 / 1
LCM(88196,88207) = 7779504572

Least Common Multiple (LCM) of 88196 and 88207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88196 and 88207. First we will calculate the prime factors of 88196 and 88207.

Prime Factorization of 88196

Prime factors of 88196 are 2, 17, 1297. Prime factorization of 88196 in exponential form is:

88196 = 22 × 171 × 12971

Prime Factorization of 88207

Prime factors of 88207 are 7, 12601. Prime factorization of 88207 in exponential form is:

88207 = 71 × 126011

Now multiplying the highest exponent prime factors to calculate the LCM of 88196 and 88207.

LCM(88196,88207) = 22 × 171 × 12971 × 71 × 126011
LCM(88196,88207) = 7779504572