What is the Least Common Multiple of 60877 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 60877 and 60882 is 3706313514.
LCM(60877,60882) = 3706313514
Least Common Multiple of 60877 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 60877 and 60882, than apply into the LCM equation.
GCF(60877,60882) = 1
LCM(60877,60882) = ( 60877 × 60882) / 1
LCM(60877,60882) = 3706313514 / 1
LCM(60877,60882) = 3706313514
Least Common Multiple (LCM) of 60877 and 60882 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60877 and 60882. First we will calculate the prime factors of 60877 and 60882.
Prime Factorization of 60877
Prime factors of 60877 are 17, 3581. Prime factorization of 60877 in exponential form is:
60877 = 171 × 35811
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 60877 and 60882.
LCM(60877,60882) = 171 × 35811 × 21 × 31 × 731 × 1391
LCM(60877,60882) = 3706313514
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