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What is the Least Common Multiple of 88137 and 88150?

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 88137 and 88150 is 7769276550.

LCM(88137,88150) = 7769276550

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Least Common Multiple of 88137 and 88150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88137 and 88150, than apply into the LCM equation.

GCF(88137,88150) = 1
LCM(88137,88150) = ( 88137 × 88150) / 1
LCM(88137,88150) = 7769276550 / 1
LCM(88137,88150) = 7769276550

Least Common Multiple (LCM) of 88137 and 88150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88137 and 88150. First we will calculate the prime factors of 88137 and 88150.

Prime Factorization of 88137

Prime factors of 88137 are 3, 7, 1399. Prime factorization of 88137 in exponential form is:

88137 = 32 × 71 × 13991

Prime Factorization of 88150

Prime factors of 88150 are 2, 5, 41, 43. Prime factorization of 88150 in exponential form is:

88150 = 21 × 52 × 411 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 88137 and 88150.

LCM(88137,88150) = 32 × 71 × 13991 × 21 × 52 × 411 × 431
LCM(88137,88150) = 7769276550