What is the Least Common Multiple of 59552 and 59560?
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 59552 and 59560 is 443364640.
LCM(59552,59560) = 443364640
Least Common Multiple of 59552 and 59560 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59552 and 59560, than apply into the LCM equation.
GCF(59552,59560) = 8
LCM(59552,59560) = ( 59552 × 59560) / 8
LCM(59552,59560) = 3546917120 / 8
LCM(59552,59560) = 443364640
Least Common Multiple (LCM) of 59552 and 59560 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59552 and 59560. First we will calculate the prime factors of 59552 and 59560.
Prime Factorization of 59552
Prime factors of 59552 are 2, 1861. Prime factorization of 59552 in exponential form is:
59552 = 25 × 18611
Prime Factorization of 59560
Prime factors of 59560 are 2, 5, 1489. Prime factorization of 59560 in exponential form is:
59560 = 23 × 51 × 14891
Now multiplying the highest exponent prime factors to calculate the LCM of 59552 and 59560.
LCM(59552,59560) = 25 × 18611 × 51 × 14891
LCM(59552,59560) = 443364640
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