What is the Least Common Multiple of 88026 and 88037?
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 88026 and 88037 is 7749544962.
LCM(88026,88037) = 7749544962
Least Common Multiple of 88026 and 88037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88026 and 88037, than apply into the LCM equation.
GCF(88026,88037) = 1
LCM(88026,88037) = ( 88026 × 88037) / 1
LCM(88026,88037) = 7749544962 / 1
LCM(88026,88037) = 7749544962
Least Common Multiple (LCM) of 88026 and 88037 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88026 and 88037. First we will calculate the prime factors of 88026 and 88037.
Prime Factorization of 88026
Prime factors of 88026 are 2, 3, 17, 863. Prime factorization of 88026 in exponential form is:
88026 = 21 × 31 × 171 × 8631
Prime Factorization of 88037
Prime factors of 88037 are 88037. Prime factorization of 88037 in exponential form is:
88037 = 880371
Now multiplying the highest exponent prime factors to calculate the LCM of 88026 and 88037.
LCM(88026,88037) = 21 × 31 × 171 × 8631 × 880371
LCM(88026,88037) = 7749544962
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