What is the Least Common Multiple of 66847 and 66856?
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 66847 and 66856 is 4469123032.
LCM(66847,66856) = 4469123032
Least Common Multiple of 66847 and 66856 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66847 and 66856, than apply into the LCM equation.
GCF(66847,66856) = 1
LCM(66847,66856) = ( 66847 × 66856) / 1
LCM(66847,66856) = 4469123032 / 1
LCM(66847,66856) = 4469123032
Least Common Multiple (LCM) of 66847 and 66856 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66847 and 66856. First we will calculate the prime factors of 66847 and 66856.
Prime Factorization of 66847
Prime factors of 66847 are 11, 59, 103. Prime factorization of 66847 in exponential form is:
66847 = 111 × 591 × 1031
Prime Factorization of 66856
Prime factors of 66856 are 2, 61, 137. Prime factorization of 66856 in exponential form is:
66856 = 23 × 611 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 66847 and 66856.
LCM(66847,66856) = 111 × 591 × 1031 × 23 × 611 × 1371
LCM(66847,66856) = 4469123032
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