What is the Least Common Multiple of 66847 and 66863?
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 66863 is 4469590961.
LCM(66847,66863) = 4469590961
Least Common Multiple of 66847 and 66863 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 66863, than apply into the LCM equation.
GCF(66847,66863) = 1
LCM(66847,66863) = ( 66847 × 66863) / 1
LCM(66847,66863) = 4469590961 / 1
LCM(66847,66863) = 4469590961
Least Common Multiple (LCM) of 66847 and 66863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66847 and 66863. First we will calculate the prime factors of 66847 and 66863.
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 66863
Prime factors of 66863 are 66863. Prime factorization of 66863 in exponential form is:
66863 = 668631
Now multiplying the highest exponent prime factors to calculate the LCM of 66847 and 66863.
LCM(66847,66863) = 111 × 591 × 1031 × 668631
LCM(66847,66863) = 4469590961
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