What is the Least Common Multiple of 88661 and 88671?
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 88661 and 88671 is 7861659531.
LCM(88661,88671) = 7861659531
Least Common Multiple of 88661 and 88671 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88661 and 88671, than apply into the LCM equation.
GCF(88661,88671) = 1
LCM(88661,88671) = ( 88661 × 88671) / 1
LCM(88661,88671) = 7861659531 / 1
LCM(88661,88671) = 7861659531
Least Common Multiple (LCM) of 88661 and 88671 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88661 and 88671. First we will calculate the prime factors of 88661 and 88671.
Prime Factorization of 88661
Prime factors of 88661 are 88661. Prime factorization of 88661 in exponential form is:
88661 = 886611
Prime Factorization of 88671
Prime factors of 88671 are 3, 11, 2687. Prime factorization of 88671 in exponential form is:
88671 = 31 × 111 × 26871
Now multiplying the highest exponent prime factors to calculate the LCM of 88661 and 88671.
LCM(88661,88671) = 886611 × 31 × 111 × 26871
LCM(88661,88671) = 7861659531
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