What is the Least Common Multiple of 88477 and 88494?
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 88477 and 88494 is 7829683638.
LCM(88477,88494) = 7829683638
Least Common Multiple of 88477 and 88494 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88477 and 88494, than apply into the LCM equation.
GCF(88477,88494) = 1
LCM(88477,88494) = ( 88477 × 88494) / 1
LCM(88477,88494) = 7829683638 / 1
LCM(88477,88494) = 7829683638
Least Common Multiple (LCM) of 88477 and 88494 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88477 and 88494. First we will calculate the prime factors of 88477 and 88494.
Prime Factorization of 88477
Prime factors of 88477 are 103, 859. Prime factorization of 88477 in exponential form is:
88477 = 1031 × 8591
Prime Factorization of 88494
Prime factors of 88494 are 2, 3, 7, 43. Prime factorization of 88494 in exponential form is:
88494 = 21 × 31 × 73 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 88477 and 88494.
LCM(88477,88494) = 1031 × 8591 × 21 × 31 × 73 × 431
LCM(88477,88494) = 7829683638
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