What is the Least Common Multiple of 88351 and 88370?
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 88351 and 88370 is 7807577870.
LCM(88351,88370) = 7807577870
Least Common Multiple of 88351 and 88370 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88351 and 88370, than apply into the LCM equation.
GCF(88351,88370) = 1
LCM(88351,88370) = ( 88351 × 88370) / 1
LCM(88351,88370) = 7807577870 / 1
LCM(88351,88370) = 7807577870
Least Common Multiple (LCM) of 88351 and 88370 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88351 and 88370. First we will calculate the prime factors of 88351 and 88370.
Prime Factorization of 88351
Prime factors of 88351 are 53, 1667. Prime factorization of 88351 in exponential form is:
88351 = 531 × 16671
Prime Factorization of 88370
Prime factors of 88370 are 2, 5, 8837. Prime factorization of 88370 in exponential form is:
88370 = 21 × 51 × 88371
Now multiplying the highest exponent prime factors to calculate the LCM of 88351 and 88370.
LCM(88351,88370) = 531 × 16671 × 21 × 51 × 88371
LCM(88351,88370) = 7807577870
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