What is the Least Common Multiple of 880 and 888?
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 880 and 888 is 97680.
LCM(880,888) = 97680
Least Common Multiple of 880 and 888 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 880 and 888, than apply into the LCM equation.
GCF(880,888) = 8
LCM(880,888) = ( 880 × 888) / 8
LCM(880,888) = 781440 / 8
LCM(880,888) = 97680
Least Common Multiple (LCM) of 880 and 888 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 880 and 888. First we will calculate the prime factors of 880 and 888.
Prime Factorization of 880
Prime factors of 880 are 2, 5, 11. Prime factorization of 880 in exponential form is:
880 = 24 × 51 × 111
Prime Factorization of 888
Prime factors of 888 are 2, 3, 37. Prime factorization of 888 in exponential form is:
888 = 23 × 31 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 880 and 888.
LCM(880,888) = 24 × 51 × 111 × 31 × 371
LCM(880,888) = 97680
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