What is the Least Common Multiple of 88655 and 88662?
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 88655 and 88662 is 1122904230.
LCM(88655,88662) = 1122904230
Least Common Multiple of 88655 and 88662 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88655 and 88662, than apply into the LCM equation.
GCF(88655,88662) = 7
LCM(88655,88662) = ( 88655 × 88662) / 7
LCM(88655,88662) = 7860329610 / 7
LCM(88655,88662) = 1122904230
Least Common Multiple (LCM) of 88655 and 88662 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88655 and 88662. First we will calculate the prime factors of 88655 and 88662.
Prime Factorization of 88655
Prime factors of 88655 are 5, 7, 17, 149. Prime factorization of 88655 in exponential form is:
88655 = 51 × 71 × 171 × 1491
Prime Factorization of 88662
Prime factors of 88662 are 2, 3, 7, 2111. Prime factorization of 88662 in exponential form is:
88662 = 21 × 31 × 71 × 21111
Now multiplying the highest exponent prime factors to calculate the LCM of 88655 and 88662.
LCM(88655,88662) = 51 × 71 × 171 × 1491 × 21 × 31 × 21111
LCM(88655,88662) = 1122904230
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