What is the Least Common Multiple of 8920 and 8940?
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 8920 and 8940 is 3987240.
LCM(8920,8940) = 3987240
Least Common Multiple of 8920 and 8940 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8920 and 8940, than apply into the LCM equation.
GCF(8920,8940) = 20
LCM(8920,8940) = ( 8920 × 8940) / 20
LCM(8920,8940) = 79744800 / 20
LCM(8920,8940) = 3987240
Least Common Multiple (LCM) of 8920 and 8940 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8920 and 8940. First we will calculate the prime factors of 8920 and 8940.
Prime Factorization of 8920
Prime factors of 8920 are 2, 5, 223. Prime factorization of 8920 in exponential form is:
8920 = 23 × 51 × 2231
Prime Factorization of 8940
Prime factors of 8940 are 2, 3, 5, 149. Prime factorization of 8940 in exponential form is:
8940 = 22 × 31 × 51 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 8920 and 8940.
LCM(8920,8940) = 23 × 51 × 2231 × 31 × 1491
LCM(8920,8940) = 3987240
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