What is the Least Common Multiple of 10960 and 10968?
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 10960 and 10968 is 15026160.
LCM(10960,10968) = 15026160
Least Common Multiple of 10960 and 10968 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10960 and 10968, than apply into the LCM equation.
GCF(10960,10968) = 8
LCM(10960,10968) = ( 10960 × 10968) / 8
LCM(10960,10968) = 120209280 / 8
LCM(10960,10968) = 15026160
Least Common Multiple (LCM) of 10960 and 10968 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10960 and 10968. First we will calculate the prime factors of 10960 and 10968.
Prime Factorization of 10960
Prime factors of 10960 are 2, 5, 137. Prime factorization of 10960 in exponential form is:
10960 = 24 × 51 × 1371
Prime Factorization of 10968
Prime factors of 10968 are 2, 3, 457. Prime factorization of 10968 in exponential form is:
10968 = 23 × 31 × 4571
Now multiplying the highest exponent prime factors to calculate the LCM of 10960 and 10968.
LCM(10960,10968) = 24 × 51 × 1371 × 31 × 4571
LCM(10960,10968) = 15026160
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