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
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
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