What is the Least Common Multiple of 60862 and 60882?
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 60862 and 60882 is 1852700142.
LCM(60862,60882) = 1852700142
Least Common Multiple of 60862 and 60882 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60862 and 60882, than apply into the LCM equation.
GCF(60862,60882) = 2
LCM(60862,60882) = ( 60862 × 60882) / 2
LCM(60862,60882) = 3705400284 / 2
LCM(60862,60882) = 1852700142
Least Common Multiple (LCM) of 60862 and 60882 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60862 and 60882. First we will calculate the prime factors of 60862 and 60882.
Prime Factorization of 60862
Prime factors of 60862 are 2, 30431. Prime factorization of 60862 in exponential form is:
60862 = 21 × 304311
Prime Factorization of 60882
Prime factors of 60882 are 2, 3, 73, 139. Prime factorization of 60882 in exponential form is:
60882 = 21 × 31 × 731 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 60862 and 60882.
LCM(60862,60882) = 21 × 304311 × 31 × 731 × 1391
LCM(60862,60882) = 1852700142
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