What is the Least Common Multiple of 60883 and 60888?
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 60883 and 60888 is 3707044104.
LCM(60883,60888) = 3707044104
Least Common Multiple of 60883 and 60888 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60883 and 60888, than apply into the LCM equation.
GCF(60883,60888) = 1
LCM(60883,60888) = ( 60883 × 60888) / 1
LCM(60883,60888) = 3707044104 / 1
LCM(60883,60888) = 3707044104
Least Common Multiple (LCM) of 60883 and 60888 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60883 and 60888. First we will calculate the prime factors of 60883 and 60888.
Prime Factorization of 60883
Prime factors of 60883 are 107, 569. Prime factorization of 60883 in exponential form is:
60883 = 1071 × 5691
Prime Factorization of 60888
Prime factors of 60888 are 2, 3, 43, 59. Prime factorization of 60888 in exponential form is:
60888 = 23 × 31 × 431 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 60883 and 60888.
LCM(60883,60888) = 1071 × 5691 × 23 × 31 × 431 × 591
LCM(60883,60888) = 3707044104
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